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Finding the Fourth Proportional to 86,294.60, 129,447.76 and 29,345.30

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Solution

The fourth proportional to 86,294.60, 129,447.76 and 29,345.30 is: 44,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,294.60 : 129,447.76 = 29,345.30 : x
  2. Step 2: Convert to fraction form
    86,294.60/129,447.76 = 29,345.30/x
  3. Step 3: Cross multiply
    86,294.60x = 129,447.76 × 29,345.30
  4. Step 4: Simplify right side
    86,294.60x = 3,798,683,351.53
  5. Step 5: Solve for x
    x = 3,798,683,351.53/86,294.60
  6. Step 6: Final answer
    x = 44,019.94

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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.