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Finding the Fourth Proportional to 138,458.64, 207,724.86 and 49,712.91

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Solution

The fourth proportional to 138,458.64, 207,724.86 and 49,712.91 is: 74,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,458.64 : 207,724.86 = 49,712.91 : x
  2. Step 2: Convert to fraction form
    138,458.64/207,724.86 = 49,712.91/x
  3. Step 3: Cross multiply
    138,458.64x = 207,724.86 × 49,712.91
  4. Step 4: Simplify right side
    138,458.64x = 10,326,607,269.94
  5. Step 5: Solve for x
    x = 10,326,607,269.94/138,458.64
  6. Step 6: Final answer
    x = 74,582.61

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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.