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Finding the Fourth Proportional to 123,766.64, 185,620.20 and 57,142.76

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Solution

The fourth proportional to 123,766.64, 185,620.20 and 57,142.76 is: 85,700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,766.64 : 185,620.20 = 57,142.76 : x
  2. Step 2: Convert to fraction form
    123,766.64/185,620.20 = 57,142.76/x
  3. Step 3: Cross multiply
    123,766.64x = 185,620.20 × 57,142.76
  4. Step 4: Simplify right side
    123,766.64x = 10,606,850,539.75
  5. Step 5: Solve for x
    x = 10,606,850,539.75/123,766.64
  6. Step 6: Final answer
    x = 85,700.40

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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.