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Finding the Fourth Proportional to 138,869.80, 208,283.10 and 39,020.20

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Solution

The fourth proportional to 138,869.80, 208,283.10 and 39,020.20 is: 58,524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,869.80 : 208,283.10 = 39,020.20 : x
  2. Step 2: Convert to fraction form
    138,869.80/208,283.10 = 39,020.20/x
  3. Step 3: Cross multiply
    138,869.80x = 208,283.10 × 39,020.20
  4. Step 4: Simplify right side
    138,869.80x = 8,127,248,218.62
  5. Step 5: Solve for x
    x = 8,127,248,218.62/138,869.80
  6. Step 6: Final answer
    x = 58,524.23

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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.