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Finding the Fourth Proportional to 99,713.94, 138,199.16 and 97,847.70

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Solution

The fourth proportional to 99,713.94, 138,199.16 and 97,847.70 is: 135,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,713.94 : 138,199.16 = 97,847.70 : x
  2. Step 2: Convert to fraction form
    99,713.94/138,199.16 = 97,847.70/x
  3. Step 3: Cross multiply
    99,713.94x = 138,199.16 × 97,847.70
  4. Step 4: Simplify right side
    99,713.94x = 13,522,469,458.69
  5. Step 5: Solve for x
    x = 13,522,469,458.69/99,713.94
  6. Step 6: Final answer
    x = 135,612.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.