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Finding the Fourth Proportional to 208,281.87, 312,358.20 and 75,144.82

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Solution

The fourth proportional to 208,281.87, 312,358.20 and 75,144.82 is: 112,693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,281.87 : 312,358.20 = 75,144.82 : x
  2. Step 2: Convert to fraction form
    208,281.87/312,358.20 = 75,144.82/x
  3. Step 3: Cross multiply
    208,281.87x = 312,358.20 × 75,144.82
  4. Step 4: Simplify right side
    208,281.87x = 23,472,100,714.52
  5. Step 5: Solve for x
    x = 23,472,100,714.52/208,281.87
  6. Step 6: Final answer
    x = 112,693.92

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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.