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Finding the Fourth Proportional to 99,470.85, 149,207.84 and 55,377.86

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Solution

The fourth proportional to 99,470.85, 149,207.84 and 55,377.86 is: 83,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,470.85 : 149,207.84 = 55,377.86 : x
  2. Step 2: Convert to fraction form
    99,470.85/149,207.84 = 55,377.86/x
  3. Step 3: Cross multiply
    99,470.85x = 149,207.84 × 55,377.86
  4. Step 4: Simplify right side
    99,470.85x = 8,262,809,851.49
  5. Step 5: Solve for x
    x = 8,262,809,851.49/99,470.85
  6. Step 6: Final answer
    x = 83,067.65

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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.