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Finding the Fourth Proportional to 99,831.80, 137,770.72 and 54,512.66

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Solution

The fourth proportional to 99,831.80, 137,770.72 and 54,512.66 is: 75,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,831.80 : 137,770.72 = 54,512.66 : x
  2. Step 2: Convert to fraction form
    99,831.80/137,770.72 = 54,512.66/x
  3. Step 3: Cross multiply
    99,831.80x = 137,770.72 × 54,512.66
  4. Step 4: Simplify right side
    99,831.80x = 7,510,248,417.32
  5. Step 5: Solve for x
    x = 7,510,248,417.32/99,831.80
  6. Step 6: Final answer
    x = 75,229.02

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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.