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Finding the Fourth Proportional to 123,314.68, 185,036.82 and 67,195

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Solution

The fourth proportional to 123,314.68, 185,036.82 and 67,195 is: 100,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,314.68 : 185,036.82 = 67,195 : x
  2. Step 2: Convert to fraction form
    123,314.68/185,036.82 = 67,195/x
  3. Step 3: Cross multiply
    123,314.68x = 185,036.82 × 67,195
  4. Step 4: Simplify right side
    123,314.68x = 12,433,549,119.90
  5. Step 5: Solve for x
    x = 12,433,549,119.90/123,314.68
  6. Step 6: Final answer
    x = 100,827.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.