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Finding the Fourth Proportional to 193,630.71, 290,559.74 and 81,302.29

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Solution

The fourth proportional to 193,630.71, 290,559.74 and 81,302.29 is: 122,001.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,630.71 : 290,559.74 = 81,302.29 : x
  2. Step 2: Convert to fraction form
    193,630.71/290,559.74 = 81,302.29/x
  3. Step 3: Cross multiply
    193,630.71x = 290,559.74 × 81,302.29
  4. Step 4: Simplify right side
    193,630.71x = 23,623,171,568.22
  5. Step 5: Solve for x
    x = 23,623,171,568.22/193,630.71
  6. Step 6: Final answer
    x = 122,001.16

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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.