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Finding the Fourth Proportional to 80,847.48, 121,326.70 and 28,257

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Solution

The fourth proportional to 80,847.48, 121,326.70 and 28,257 is: 42,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,847.48 : 121,326.70 = 28,257 : x
  2. Step 2: Convert to fraction form
    80,847.48/121,326.70 = 28,257/x
  3. Step 3: Cross multiply
    80,847.48x = 121,326.70 × 28,257
  4. Step 4: Simplify right side
    80,847.48x = 3,428,328,561.90
  5. Step 5: Solve for x
    x = 3,428,328,561.90/80,847.48
  6. Step 6: Final answer
    x = 42,404.89

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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.