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Finding the Fourth Proportional to 138,532.56, 207,824.76 and 55,433.04

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Solution

The fourth proportional to 138,532.56, 207,824.76 and 55,433.04 is: 83,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,532.56 : 207,824.76 = 55,433.04 : x
  2. Step 2: Convert to fraction form
    138,532.56/207,824.76 = 55,433.04/x
  3. Step 3: Cross multiply
    138,532.56x = 207,824.76 × 55,433.04
  4. Step 4: Simplify right side
    138,532.56x = 11,520,358,234.07
  5. Step 5: Solve for x
    x = 11,520,358,234.07/138,532.56
  6. Step 6: Final answer
    x = 83,159.93

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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.