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Finding the Fourth Proportional to 84,655.52, 126,982.20 and 28,508

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Solution

The fourth proportional to 84,655.52, 126,982.20 and 28,508 is: 42,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,655.52 : 126,982.20 = 28,508 : x
  2. Step 2: Convert to fraction form
    84,655.52/126,982.20 = 28,508/x
  3. Step 3: Cross multiply
    84,655.52x = 126,982.20 × 28,508
  4. Step 4: Simplify right side
    84,655.52x = 3,620,008,557.60
  5. Step 5: Solve for x
    x = 3,620,008,557.60/84,655.52
  6. Step 6: Final answer
    x = 42,761.64

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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.