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Finding the Fourth Proportional to 99,831.27, 137,772.74 and 54,513.48

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Solution

The fourth proportional to 99,831.27, 137,772.74 and 54,513.48 is: 75,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,831.27 : 137,772.74 = 54,513.48 : x
  2. Step 2: Convert to fraction form
    99,831.27/137,772.74 = 54,513.48/x
  3. Step 3: Cross multiply
    99,831.27x = 137,772.74 × 54,513.48
  4. Step 4: Simplify right side
    99,831.27x = 7,510,471,506.54
  5. Step 5: Solve for x
    x = 7,510,471,506.54/99,831.27
  6. Step 6: Final answer
    x = 75,231.65

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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.