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Finding the Fourth Proportional to 138,938, 208,441.56 and 40,442

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Solution

The fourth proportional to 138,938, 208,441.56 and 40,442 is: 60,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,938 : 208,441.56 = 40,442 : x
  2. Step 2: Convert to fraction form
    138,938/208,441.56 = 40,442/x
  3. Step 3: Cross multiply
    138,938x = 208,441.56 × 40,442
  4. Step 4: Simplify right side
    138,938x = 8,429,793,569.52
  5. Step 5: Solve for x
    x = 8,429,793,569.52/138,938
  6. Step 6: Final answer
    x = 60,673.06

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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.