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Finding the Fourth Proportional to 83,145.60, 124,694.10 and 29,831.40

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Solution

The fourth proportional to 83,145.60, 124,694.10 and 29,831.40 is: 44,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,145.60 : 124,694.10 = 29,831.40 : x
  2. Step 2: Convert to fraction form
    83,145.60/124,694.10 = 29,831.40/x
  3. Step 3: Cross multiply
    83,145.60x = 124,694.10 × 29,831.40
  4. Step 4: Simplify right side
    83,145.60x = 3,719,799,574.74
  5. Step 5: Solve for x
    x = 3,719,799,574.74/83,145.60
  6. Step 6: Final answer
    x = 44,738.38

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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.