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Finding the Fourth Proportional to 99,147.68, 136,815.36 and 56,697.92

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Solution

The fourth proportional to 99,147.68, 136,815.36 and 56,697.92 is: 78,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,147.68 : 136,815.36 = 56,697.92 : x
  2. Step 2: Convert to fraction form
    99,147.68/136,815.36 = 56,697.92/x
  3. Step 3: Cross multiply
    99,147.68x = 136,815.36 × 56,697.92
  4. Step 4: Simplify right side
    99,147.68x = 7,757,146,336.05
  5. Step 5: Solve for x
    x = 7,757,146,336.05/99,147.68
  6. Step 6: Final answer
    x = 78,238.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.