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Finding the Fourth Proportional to 280,793.42, 421,128.17 and 81,070.36

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Solution

The fourth proportional to 280,793.42, 421,128.17 and 81,070.36 is: 121,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,793.42 : 421,128.17 = 81,070.36 : x
  2. Step 2: Convert to fraction form
    280,793.42/421,128.17 = 81,070.36/x
  3. Step 3: Cross multiply
    280,793.42x = 421,128.17 × 81,070.36
  4. Step 4: Simplify right side
    280,793.42x = 34,141,012,348.04
  5. Step 5: Solve for x
    x = 34,141,012,348.04/280,793.42
  6. Step 6: Final answer
    x = 121,587.65

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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.