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Finding the Fourth Proportional to 138,048.99, 207,078.14 and 38,200.87

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Solution

The fourth proportional to 138,048.99, 207,078.14 and 38,200.87 is: 57,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,048.99 : 207,078.14 = 38,200.87 : x
  2. Step 2: Convert to fraction form
    138,048.99/207,078.14 = 38,200.87/x
  3. Step 3: Cross multiply
    138,048.99x = 207,078.14 × 38,200.87
  4. Step 4: Simplify right side
    138,048.99x = 7,910,565,105.98
  5. Step 5: Solve for x
    x = 7,910,565,105.98/138,048.99
  6. Step 6: Final answer
    x = 57,302.59

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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.