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Finding the Fourth Proportional to 84,582.80, 126,874.20 and 42,446.60

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Solution

The fourth proportional to 84,582.80, 126,874.20 and 42,446.60 is: 63,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,582.80 : 126,874.20 = 42,446.60 : x
  2. Step 2: Convert to fraction form
    84,582.80/126,874.20 = 42,446.60/x
  3. Step 3: Cross multiply
    84,582.80x = 126,874.20 × 42,446.60
  4. Step 4: Simplify right side
    84,582.80x = 5,385,378,417.72
  5. Step 5: Solve for x
    x = 5,385,378,417.72/84,582.80
  6. Step 6: Final answer
    x = 63,669.90

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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.