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Finding the Fourth Proportional to 255,761.48, 383,752.80 and 137,294.48

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Solution

The fourth proportional to 255,761.48, 383,752.80 and 137,294.48 is: 206,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,761.48 : 383,752.80 = 137,294.48 : x
  2. Step 2: Convert to fraction form
    255,761.48/383,752.80 = 137,294.48/x
  3. Step 3: Cross multiply
    255,761.48x = 383,752.80 × 137,294.48
  4. Step 4: Simplify right side
    255,761.48x = 52,687,141,124.54
  5. Step 5: Solve for x
    x = 52,687,141,124.54/255,761.48
  6. Step 6: Final answer
    x = 206,001.08

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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.