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Finding the Fourth Proportional to 73,242.63, 109,854.21 and 20,656.35

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Solution

The fourth proportional to 73,242.63, 109,854.21 and 20,656.35 is: 30,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,242.63 : 109,854.21 = 20,656.35 : x
  2. Step 2: Convert to fraction form
    73,242.63/109,854.21 = 20,656.35/x
  3. Step 3: Cross multiply
    73,242.63x = 109,854.21 × 20,656.35
  4. Step 4: Simplify right side
    73,242.63x = 2,269,187,010.73
  5. Step 5: Solve for x
    x = 2,269,187,010.73/73,242.63
  6. Step 6: Final answer
    x = 30,981.78

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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.