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Finding the Fourth Proportional to 137,921.40, 206,930.70 and 133,061.40

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Solution

The fourth proportional to 137,921.40, 206,930.70 and 133,061.40 is: 199,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,921.40 : 206,930.70 = 133,061.40 : x
  2. Step 2: Convert to fraction form
    137,921.40/206,930.70 = 133,061.40/x
  3. Step 3: Cross multiply
    137,921.40x = 206,930.70 × 133,061.40
  4. Step 4: Simplify right side
    137,921.40x = 27,534,488,644.98
  5. Step 5: Solve for x
    x = 27,534,488,644.98/137,921.40
  6. Step 6: Final answer
    x = 199,638.99

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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.