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Finding the Fourth Proportional to 84,412.80, 126,385.92 and 42,655.68

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Solution

The fourth proportional to 84,412.80, 126,385.92 and 42,655.68 is: 63,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,412.80 : 126,385.92 = 42,655.68 : x
  2. Step 2: Convert to fraction form
    84,412.80/126,385.92 = 42,655.68/x
  3. Step 3: Cross multiply
    84,412.80x = 126,385.92 × 42,655.68
  4. Step 4: Simplify right side
    84,412.80x = 5,391,077,360.03
  5. Step 5: Solve for x
    x = 5,391,077,360.03/84,412.80
  6. Step 6: Final answer
    x = 63,865.64

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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.