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Finding the Fourth Proportional to 281,109.72, 420,988.92 and 160,801.92

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Solution

The fourth proportional to 281,109.72, 420,988.92 and 160,801.92 is: 240,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,109.72 : 420,988.92 = 160,801.92 : x
  2. Step 2: Convert to fraction form
    281,109.72/420,988.92 = 160,801.92/x
  3. Step 3: Cross multiply
    281,109.72x = 420,988.92 × 160,801.92
  4. Step 4: Simplify right side
    281,109.72x = 67,695,826,634.73
  5. Step 5: Solve for x
    x = 67,695,826,634.73/281,109.72
  6. Step 6: Final answer
    x = 240,816.39

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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.