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Finding the Fourth Proportional to 147,126.78, 220,657.32 and 68,230.74

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Solution

The fourth proportional to 147,126.78, 220,657.32 and 68,230.74 is: 102,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,126.78 : 220,657.32 = 68,230.74 : x
  2. Step 2: Convert to fraction form
    147,126.78/220,657.32 = 68,230.74/x
  3. Step 3: Cross multiply
    147,126.78x = 220,657.32 × 68,230.74
  4. Step 4: Simplify right side
    147,126.78x = 15,055,612,230.02
  5. Step 5: Solve for x
    x = 15,055,612,230.02/147,126.78
  6. Step 6: Final answer
    x = 102,330.88

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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.