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Finding the Fourth Proportional to 140,991.33, 194,580.51 and 77,341.53

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Solution

The fourth proportional to 140,991.33, 194,580.51 and 77,341.53 is: 106,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,991.33 : 194,580.51 = 77,341.53 : x
  2. Step 2: Convert to fraction form
    140,991.33/194,580.51 = 77,341.53/x
  3. Step 3: Cross multiply
    140,991.33x = 194,580.51 × 77,341.53
  4. Step 4: Simplify right side
    140,991.33x = 15,049,154,351.58
  5. Step 5: Solve for x
    x = 15,049,154,351.58/140,991.33
  6. Step 6: Final answer
    x = 106,738.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.