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Finding the Fourth Proportional to 84,002.80, 125,831.40 and 57,737.20

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Solution

The fourth proportional to 84,002.80, 125,831.40 and 57,737.20 is: 86,487.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,002.80 : 125,831.40 = 57,737.20 : x
  2. Step 2: Convert to fraction form
    84,002.80/125,831.40 = 57,737.20/x
  3. Step 3: Cross multiply
    84,002.80x = 125,831.40 × 57,737.20
  4. Step 4: Simplify right side
    84,002.80x = 7,265,152,708.08
  5. Step 5: Solve for x
    x = 7,265,152,708.08/84,002.80
  6. Step 6: Final answer
    x = 86,487.03

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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.