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Finding the Fourth Proportional to 138,425.44, 207,572.48 and 71,798.88

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Solution

The fourth proportional to 138,425.44, 207,572.48 and 71,798.88 is: 107,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,425.44 : 207,572.48 = 71,798.88 : x
  2. Step 2: Convert to fraction form
    138,425.44/207,572.48 = 71,798.88/x
  3. Step 3: Cross multiply
    138,425.44x = 207,572.48 × 71,798.88
  4. Step 4: Simplify right side
    138,425.44x = 14,903,471,582.82
  5. Step 5: Solve for x
    x = 14,903,471,582.82/138,425.44
  6. Step 6: Final answer
    x = 107,664.25

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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.