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Finding the Fourth Proportional to 185,306.14, 255,722.69 and 100,423.20

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Solution

The fourth proportional to 185,306.14, 255,722.69 and 100,423.20 is: 138,584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,306.14 : 255,722.69 = 100,423.20 : x
  2. Step 2: Convert to fraction form
    185,306.14/255,722.69 = 100,423.20/x
  3. Step 3: Cross multiply
    185,306.14x = 255,722.69 × 100,423.20
  4. Step 4: Simplify right side
    185,306.14x = 25,680,489,700.99
  5. Step 5: Solve for x
    x = 25,680,489,700.99/185,306.14
  6. Step 6: Final answer
    x = 138,584.13

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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.