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Finding the Fourth Proportional to 86,314.95, 129,446.91 and 38,902.68

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Solution

The fourth proportional to 86,314.95, 129,446.91 and 38,902.68 is: 58,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,314.95 : 129,446.91 = 38,902.68 : x
  2. Step 2: Convert to fraction form
    86,314.95/129,446.91 = 38,902.68/x
  3. Step 3: Cross multiply
    86,314.95x = 129,446.91 × 38,902.68
  4. Step 4: Simplify right side
    86,314.95x = 5,035,831,716.72
  5. Step 5: Solve for x
    x = 5,035,831,716.72/86,314.95
  6. Step 6: Final answer
    x = 58,342.52

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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.