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Finding the Fourth Proportional to 100,851.10, 150,948.60 and 78,543.70

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Solution

The fourth proportional to 100,851.10, 150,948.60 and 78,543.70 is: 117,560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,851.10 : 150,948.60 = 78,543.70 : x
  2. Step 2: Convert to fraction form
    100,851.10/150,948.60 = 78,543.70/x
  3. Step 3: Cross multiply
    100,851.10x = 150,948.60 × 78,543.70
  4. Step 4: Simplify right side
    100,851.10x = 11,856,061,553.82
  5. Step 5: Solve for x
    x = 11,856,061,553.82/100,851.10
  6. Step 6: Final answer
    x = 117,560.06

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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.