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Finding the Fourth Proportional to 82,246.95, 123,419.79 and 35,499.78

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Solution

The fourth proportional to 82,246.95, 123,419.79 and 35,499.78 is: 53,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,246.95 : 123,419.79 = 35,499.78 : x
  2. Step 2: Convert to fraction form
    82,246.95/123,419.79 = 35,499.78/x
  3. Step 3: Cross multiply
    82,246.95x = 123,419.79 × 35,499.78
  4. Step 4: Simplify right side
    82,246.95x = 4,381,375,392.65
  5. Step 5: Solve for x
    x = 4,381,375,392.65/82,246.95
  6. Step 6: Final answer
    x = 53,270.98

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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.