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Finding the Fourth Proportional to 122,711.69, 169,301.39 and 100,011.64

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Solution

The fourth proportional to 122,711.69, 169,301.39 and 100,011.64 is: 137,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,711.69 : 169,301.39 = 100,011.64 : x
  2. Step 2: Convert to fraction form
    122,711.69/169,301.39 = 100,011.64/x
  3. Step 3: Cross multiply
    122,711.69x = 169,301.39 × 100,011.64
  4. Step 4: Simplify right side
    122,711.69x = 16,932,109,668.18
  5. Step 5: Solve for x
    x = 16,932,109,668.18/122,711.69
  6. Step 6: Final answer
    x = 137,982.86

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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.