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Finding the Fourth Proportional to 109,129.70, 163,755.92 and 42,574.43

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Solution

The fourth proportional to 109,129.70, 163,755.92 and 42,574.43 is: 63,885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,129.70 : 163,755.92 = 42,574.43 : x
  2. Step 2: Convert to fraction form
    109,129.70/163,755.92 = 42,574.43/x
  3. Step 3: Cross multiply
    109,129.70x = 163,755.92 × 42,574.43
  4. Step 4: Simplify right side
    109,129.70x = 6,971,815,468.95
  5. Step 5: Solve for x
    x = 6,971,815,468.95/109,129.70
  6. Step 6: Final answer
    x = 63,885.59

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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.