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Finding the Fourth Proportional to 280,131, 420,200.16 and 93,142.50

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Solution

The fourth proportional to 280,131, 420,200.16 and 93,142.50 is: 139,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,131 : 420,200.16 = 93,142.50 : x
  2. Step 2: Convert to fraction form
    280,131/420,200.16 = 93,142.50/x
  3. Step 3: Cross multiply
    280,131x = 420,200.16 × 93,142.50
  4. Step 4: Simplify right side
    280,131x = 39,138,493,402.80
  5. Step 5: Solve for x
    x = 39,138,493,402.80/280,131
  6. Step 6: Final answer
    x = 139,714.97

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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.