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Finding the Fourth Proportional to 82,040.40, 123,060.60 and 78,541.20

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Solution

The fourth proportional to 82,040.40, 123,060.60 and 78,541.20 is: 117,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,040.40 : 123,060.60 = 78,541.20 : x
  2. Step 2: Convert to fraction form
    82,040.40/123,060.60 = 78,541.20/x
  3. Step 3: Cross multiply
    82,040.40x = 123,060.60 × 78,541.20
  4. Step 4: Simplify right side
    82,040.40x = 9,665,327,196.72
  5. Step 5: Solve for x
    x = 9,665,327,196.72/82,040.40
  6. Step 6: Final answer
    x = 117,811.80

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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.