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Finding the Fourth Proportional to 132,540.98, 198,936.02 and 69,406.40

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Solution

The fourth proportional to 132,540.98, 198,936.02 and 69,406.40 is: 104,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,540.98 : 198,936.02 = 69,406.40 : x
  2. Step 2: Convert to fraction form
    132,540.98/198,936.02 = 69,406.40/x
  3. Step 3: Cross multiply
    132,540.98x = 198,936.02 × 69,406.40
  4. Step 4: Simplify right side
    132,540.98x = 13,807,432,978.53
  5. Step 5: Solve for x
    x = 13,807,432,978.53/132,540.98
  6. Step 6: Final answer
    x = 104,174.82

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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.