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Finding the Fourth Proportional to 84,282.80, 126,381.87 and 28,103.02

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Solution

The fourth proportional to 84,282.80, 126,381.87 and 28,103.02 is: 42,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,282.80 : 126,381.87 = 28,103.02 : x
  2. Step 2: Convert to fraction form
    84,282.80/126,381.87 = 28,103.02/x
  3. Step 3: Cross multiply
    84,282.80x = 126,381.87 × 28,103.02
  4. Step 4: Simplify right side
    84,282.80x = 3,551,712,220.25
  5. Step 5: Solve for x
    x = 3,551,712,220.25/84,282.80
  6. Step 6: Final answer
    x = 42,140.42

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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.