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Finding the Fourth Proportional to 137,590.24, 206,394.96 and 54,484

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Solution

The fourth proportional to 137,590.24, 206,394.96 and 54,484 is: 81,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,590.24 : 206,394.96 = 54,484 : x
  2. Step 2: Convert to fraction form
    137,590.24/206,394.96 = 54,484/x
  3. Step 3: Cross multiply
    137,590.24x = 206,394.96 × 54,484
  4. Step 4: Simplify right side
    137,590.24x = 11,245,223,000.64
  5. Step 5: Solve for x
    x = 11,245,223,000.64/137,590.24
  6. Step 6: Final answer
    x = 81,729.80

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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.