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Finding the Fourth Proportional to 71,831.61, 99,120.65 and 39,565.80

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Solution

The fourth proportional to 71,831.61, 99,120.65 and 39,565.80 is: 54,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,831.61 : 99,120.65 = 39,565.80 : x
  2. Step 2: Convert to fraction form
    71,831.61/99,120.65 = 39,565.80/x
  3. Step 3: Cross multiply
    71,831.61x = 99,120.65 × 39,565.80
  4. Step 4: Simplify right side
    71,831.61x = 3,921,787,615.94
  5. Step 5: Solve for x
    x = 3,921,787,615.94/71,831.61
  6. Step 6: Final answer
    x = 54,596.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.