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Finding the Fourth Proportional to 213,061.71, 319,735.13 and 88,402.71

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Solution

The fourth proportional to 213,061.71, 319,735.13 and 88,402.71 is: 132,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,061.71 : 319,735.13 = 88,402.71 : x
  2. Step 2: Convert to fraction form
    213,061.71/319,735.13 = 88,402.71/x
  3. Step 3: Cross multiply
    213,061.71x = 319,735.13 × 88,402.71
  4. Step 4: Simplify right side
    213,061.71x = 28,265,451,532.19
  5. Step 5: Solve for x
    x = 28,265,451,532.19/213,061.71
  6. Step 6: Final answer
    x = 132,663.22

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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.