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Finding the Fourth Proportional to 137,218.60, 205,827.90 and 131,775.40

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Solution

The fourth proportional to 137,218.60, 205,827.90 and 131,775.40 is: 197,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,218.60 : 205,827.90 = 131,775.40 : x
  2. Step 2: Convert to fraction form
    137,218.60/205,827.90 = 131,775.40/x
  3. Step 3: Cross multiply
    137,218.60x = 205,827.90 × 131,775.40
  4. Step 4: Simplify right side
    137,218.60x = 27,123,053,853.66
  5. Step 5: Solve for x
    x = 27,123,053,853.66/137,218.60
  6. Step 6: Final answer
    x = 197,663.10

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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.