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Finding the Fourth Proportional to 82,201.78, 113,335.17 and 67,079.08

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Solution

The fourth proportional to 82,201.78, 113,335.17 and 67,079.08 is: 92,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,201.78 : 113,335.17 = 67,079.08 : x
  2. Step 2: Convert to fraction form
    82,201.78/113,335.17 = 67,079.08/x
  3. Step 3: Cross multiply
    82,201.78x = 113,335.17 × 67,079.08
  4. Step 4: Simplify right side
    82,201.78x = 7,602,418,935.24
  5. Step 5: Solve for x
    x = 7,602,418,935.24/82,201.78
  6. Step 6: Final answer
    x = 92,484.85

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1.5x scale

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.