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Finding the Fourth Proportional to 81,282.64, 121,923.96 and 28,658.56

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Solution

The fourth proportional to 81,282.64, 121,923.96 and 28,658.56 is: 42,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,282.64 : 121,923.96 = 28,658.56 : x
  2. Step 2: Convert to fraction form
    81,282.64/121,923.96 = 28,658.56/x
  3. Step 3: Cross multiply
    81,282.64x = 121,923.96 × 28,658.56
  4. Step 4: Simplify right side
    81,282.64x = 3,494,165,123.10
  5. Step 5: Solve for x
    x = 3,494,165,123.10/81,282.64
  6. Step 6: Final answer
    x = 42,987.84

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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.