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Finding the Fourth Proportional to 193,871,012.80, 290,948,236.80 and 136,475,384.80

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Solution

The fourth proportional to 193,871,012.80, 290,948,236.80 and 136,475,384.80 is: 204,812,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,871,012.80 : 290,948,236.80 = 136,475,384.80 : x
  2. Step 2: Convert to fraction form
    193,871,012.80/290,948,236.80 = 136,475,384.80/x
  3. Step 3: Cross multiply
    193,871,012.80x = 290,948,236.80 × 136,475,384.80
  4. Step 4: Simplify right side
    193,871,012.80x = 39,707,272,574,161,528
  5. Step 5: Solve for x
    x = 39,707,272,574,161,528/193,871,012.80
  6. Step 6: Final answer
    x = 204,812,839.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.