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Finding the Fourth Proportional to 100,442.72, 150,557.16 and 47,740.88

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Solution

The fourth proportional to 100,442.72, 150,557.16 and 47,740.88 is: 71,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,442.72 : 150,557.16 = 47,740.88 : x
  2. Step 2: Convert to fraction form
    100,442.72/150,557.16 = 47,740.88/x
  3. Step 3: Cross multiply
    100,442.72x = 150,557.16 × 47,740.88
  4. Step 4: Simplify right side
    100,442.72x = 7,187,731,308.70
  5. Step 5: Solve for x
    x = 7,187,731,308.70/100,442.72
  6. Step 6: Final answer
    x = 71,560.50

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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.