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Finding the Fourth Proportional to 99,546.15, 149,318.96 and 81,978.87

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Solution

The fourth proportional to 99,546.15, 149,318.96 and 81,978.87 is: 122,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,546.15 : 149,318.96 = 81,978.87 : x
  2. Step 2: Convert to fraction form
    99,546.15/149,318.96 = 81,978.87/x
  3. Step 3: Cross multiply
    99,546.15x = 149,318.96 × 81,978.87
  4. Step 4: Simplify right side
    99,546.15x = 12,240,999,200.48
  5. Step 5: Solve for x
    x = 12,240,999,200.48/99,546.15
  6. Step 6: Final answer
    x = 122,968.08

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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.