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Finding the Fourth Proportional to 257,722.65, 386,491.35 and 89,197.26

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Solution

The fourth proportional to 257,722.65, 386,491.35 and 89,197.26 is: 133,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,722.65 : 386,491.35 = 89,197.26 : x
  2. Step 2: Convert to fraction form
    257,722.65/386,491.35 = 89,197.26/x
  3. Step 3: Cross multiply
    257,722.65x = 386,491.35 × 89,197.26
  4. Step 4: Simplify right side
    257,722.65x = 34,473,969,433.70
  5. Step 5: Solve for x
    x = 34,473,969,433.70/257,722.65
  6. Step 6: Final answer
    x = 133,763.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.