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Finding the Fourth Proportional to 86,402.63, 129,502.11 and 38,962.17

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Solution

The fourth proportional to 86,402.63, 129,502.11 and 38,962.17 is: 58,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,402.63 : 129,502.11 = 38,962.17 : x
  2. Step 2: Convert to fraction form
    86,402.63/129,502.11 = 38,962.17/x
  3. Step 3: Cross multiply
    86,402.63x = 129,502.11 × 38,962.17
  4. Step 4: Simplify right side
    86,402.63x = 5,045,683,225.18
  5. Step 5: Solve for x
    x = 5,045,683,225.18/86,402.63
  6. Step 6: Final answer
    x = 58,397.34

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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.