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Finding the Fourth Proportional to 99,831.17, 137,765.96 and 54,509.01

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Solution

The fourth proportional to 99,831.17, 137,765.96 and 54,509.01 is: 75,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,831.17 : 137,765.96 = 54,509.01 : x
  2. Step 2: Convert to fraction form
    99,831.17/137,765.96 = 54,509.01/x
  3. Step 3: Cross multiply
    99,831.17x = 137,765.96 × 54,509.01
  4. Step 4: Simplify right side
    99,831.17x = 7,509,485,818.75
  5. Step 5: Solve for x
    x = 7,509,485,818.75/99,831.17
  6. Step 6: Final answer
    x = 75,221.86

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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.