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Finding the Fourth Proportional to 207,114.11, 285,819.13 and 115,234.72

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Solution

The fourth proportional to 207,114.11, 285,819.13 and 115,234.72 is: 159,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,114.11 : 285,819.13 = 115,234.72 : x
  2. Step 2: Convert to fraction form
    207,114.11/285,819.13 = 115,234.72/x
  3. Step 3: Cross multiply
    207,114.11x = 285,819.13 × 115,234.72
  4. Step 4: Simplify right side
    207,114.11x = 32,936,287,416.19
  5. Step 5: Solve for x
    x = 32,936,287,416.19/207,114.11
  6. Step 6: Final answer
    x = 159,024.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.