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Finding the Fourth Proportional to 138,681.80, 208,139.40 and 129,933.80

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Solution

The fourth proportional to 138,681.80, 208,139.40 and 129,933.80 is: 195,010.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,681.80 : 208,139.40 = 129,933.80 : x
  2. Step 2: Convert to fraction form
    138,681.80/208,139.40 = 129,933.80/x
  3. Step 3: Cross multiply
    138,681.80x = 208,139.40 × 129,933.80
  4. Step 4: Simplify right side
    138,681.80x = 27,044,343,171.72
  5. Step 5: Solve for x
    x = 27,044,343,171.72/138,681.80
  6. Step 6: Final answer
    x = 195,010.04

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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.