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Finding the Fourth Proportional to 207,434.92, 286,265.98 and 126,861

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Solution

The fourth proportional to 207,434.92, 286,265.98 and 126,861 is: 175,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,434.92 : 286,265.98 = 126,861 : x
  2. Step 2: Convert to fraction form
    207,434.92/286,265.98 = 126,861/x
  3. Step 3: Cross multiply
    207,434.92x = 286,265.98 × 126,861
  4. Step 4: Simplify right side
    207,434.92x = 36,315,988,488.78
  5. Step 5: Solve for x
    x = 36,315,988,488.78/207,434.92
  6. Step 6: Final answer
    x = 175,071.72

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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.