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Finding the Fourth Proportional to 86,242.62, 129,312.09 and 32,938.14

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Solution

The fourth proportional to 86,242.62, 129,312.09 and 32,938.14 is: 49,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,242.62 : 129,312.09 = 32,938.14 : x
  2. Step 2: Convert to fraction form
    86,242.62/129,312.09 = 32,938.14/x
  3. Step 3: Cross multiply
    86,242.62x = 129,312.09 × 32,938.14
  4. Step 4: Simplify right side
    86,242.62x = 4,259,299,724.11
  5. Step 5: Solve for x
    x = 4,259,299,724.11/86,242.62
  6. Step 6: Final answer
    x = 49,387.41

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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.