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Finding the Fourth Proportional to 82,427.80, 123,641.70 and 40,955.80

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Solution

The fourth proportional to 82,427.80, 123,641.70 and 40,955.80 is: 61,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,427.80 : 123,641.70 = 40,955.80 : x
  2. Step 2: Convert to fraction form
    82,427.80/123,641.70 = 40,955.80/x
  3. Step 3: Cross multiply
    82,427.80x = 123,641.70 × 40,955.80
  4. Step 4: Simplify right side
    82,427.80x = 5,063,844,736.86
  5. Step 5: Solve for x
    x = 5,063,844,736.86/82,427.80
  6. Step 6: Final answer
    x = 61,433.70

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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.