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Finding the Fourth Proportional to 138,838.78, 208,266.24 and 39,006.75

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Solution

The fourth proportional to 138,838.78, 208,266.24 and 39,006.75 is: 58,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,838.78 : 208,266.24 = 39,006.75 : x
  2. Step 2: Convert to fraction form
    138,838.78/208,266.24 = 39,006.75/x
  3. Step 3: Cross multiply
    138,838.78x = 208,266.24 × 39,006.75
  4. Step 4: Simplify right side
    138,838.78x = 8,123,789,938.12
  5. Step 5: Solve for x
    x = 8,123,789,938.12/138,838.78
  6. Step 6: Final answer
    x = 58,512.40

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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.