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Finding the Fourth Proportional to 138,557.72, 207,664.05 and 67,421.90

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Solution

The fourth proportional to 138,557.72, 207,664.05 and 67,421.90 is: 101,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,557.72 : 207,664.05 = 67,421.90 : x
  2. Step 2: Convert to fraction form
    138,557.72/207,664.05 = 67,421.90/x
  3. Step 3: Cross multiply
    138,557.72x = 207,664.05 × 67,421.90
  4. Step 4: Simplify right side
    138,557.72x = 14,001,105,584.69
  5. Step 5: Solve for x
    x = 14,001,105,584.69/138,557.72
  6. Step 6: Final answer
    x = 101,048.90

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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.