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Finding the Fourth Proportional to 123,886.64, 185,829.96 and 53,765.95

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Solution

The fourth proportional to 123,886.64, 185,829.96 and 53,765.95 is: 80,648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,886.64 : 185,829.96 = 53,765.95 : x
  2. Step 2: Convert to fraction form
    123,886.64/185,829.96 = 53,765.95/x
  3. Step 3: Cross multiply
    123,886.64x = 185,829.96 × 53,765.95
  4. Step 4: Simplify right side
    123,886.64x = 9,991,324,337.86
  5. Step 5: Solve for x
    x = 9,991,324,337.86/123,886.64
  6. Step 6: Final answer
    x = 80,648.93

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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.