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Finding the Fourth Proportional to 123,403.80, 185,103.54 and 48,531.72

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Solution

The fourth proportional to 123,403.80, 185,103.54 and 48,531.72 is: 72,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,403.80 : 185,103.54 = 48,531.72 : x
  2. Step 2: Convert to fraction form
    123,403.80/185,103.54 = 48,531.72/x
  3. Step 3: Cross multiply
    123,403.80x = 185,103.54 × 48,531.72
  4. Step 4: Simplify right side
    123,403.80x = 8,983,393,174.29
  5. Step 5: Solve for x
    x = 8,983,393,174.29/123,403.80
  6. Step 6: Final answer
    x = 72,796.73

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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.