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Finding the Fourth Proportional to 138,868.80, 208,281.60 and 39,019.20

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Solution

The fourth proportional to 138,868.80, 208,281.60 and 39,019.20 is: 58,522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,868.80 : 208,281.60 = 39,019.20 : x
  2. Step 2: Convert to fraction form
    138,868.80/208,281.60 = 39,019.20/x
  3. Step 3: Cross multiply
    138,868.80x = 208,281.60 × 39,019.20
  4. Step 4: Simplify right side
    138,868.80x = 8,126,981,406.72
  5. Step 5: Solve for x
    x = 8,126,981,406.72/138,868.80
  6. Step 6: Final answer
    x = 58,522.73

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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.