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Finding the Fourth Proportional to 81,470.55, 122,175.86 and 28,148.87

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Solution

The fourth proportional to 81,470.55, 122,175.86 and 28,148.87 is: 42,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,470.55 : 122,175.86 = 28,148.87 : x
  2. Step 2: Convert to fraction form
    81,470.55/122,175.86 = 28,148.87/x
  3. Step 3: Cross multiply
    81,470.55x = 122,175.86 × 28,148.87
  4. Step 4: Simplify right side
    81,470.55x = 3,439,111,648.65
  5. Step 5: Solve for x
    x = 3,439,111,648.65/81,470.55
  6. Step 6: Final answer
    x = 42,212.94

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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.