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Finding the Fourth Proportional to 207,940.43, 286,956.74 and 112,446.90

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Solution

The fourth proportional to 207,940.43, 286,956.74 and 112,446.90 is: 155,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,940.43 : 286,956.74 = 112,446.90 : x
  2. Step 2: Convert to fraction form
    207,940.43/286,956.74 = 112,446.90/x
  3. Step 3: Cross multiply
    207,940.43x = 286,956.74 × 112,446.90
  4. Step 4: Simplify right side
    207,940.43x = 32,267,396,128.22
  5. Step 5: Solve for x
    x = 32,267,396,128.22/207,940.43
  6. Step 6: Final answer
    x = 155,176.15

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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.