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Finding the Fourth Proportional to 82,002.78, 113,169.05 and 61,824.06

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Solution

The fourth proportional to 82,002.78, 113,169.05 and 61,824.06 is: 85,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,002.78 : 113,169.05 = 61,824.06 : x
  2. Step 2: Convert to fraction form
    82,002.78/113,169.05 = 61,824.06/x
  3. Step 3: Cross multiply
    82,002.78x = 113,169.05 × 61,824.06
  4. Step 4: Simplify right side
    82,002.78x = 6,996,570,060.06
  5. Step 5: Solve for x
    x = 6,996,570,060.06/82,002.78
  6. Step 6: Final answer
    x = 85,321.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.