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Finding the Fourth Proportional to 86,407.71, 129,612.47 and 24,078.21

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Solution

The fourth proportional to 86,407.71, 129,612.47 and 24,078.21 is: 36,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,407.71 : 129,612.47 = 24,078.21 : x
  2. Step 2: Convert to fraction form
    86,407.71/129,612.47 = 24,078.21/x
  3. Step 3: Cross multiply
    86,407.71x = 129,612.47 × 24,078.21
  4. Step 4: Simplify right side
    86,407.71x = 3,120,836,150.89
  5. Step 5: Solve for x
    x = 3,120,836,150.89/86,407.71
  6. Step 6: Final answer
    x = 36,117.57

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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.