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Finding the Fourth Proportional to 82,471.70, 113,917.71 and 61,005.08

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Solution

The fourth proportional to 82,471.70, 113,917.71 and 61,005.08 is: 84,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,471.70 : 113,917.71 = 61,005.08 : x
  2. Step 2: Convert to fraction form
    82,471.70/113,917.71 = 61,005.08/x
  3. Step 3: Cross multiply
    82,471.70x = 113,917.71 × 61,005.08
  4. Step 4: Simplify right side
    82,471.70x = 6,949,558,727.17
  5. Step 5: Solve for x
    x = 6,949,558,727.17/82,471.70
  6. Step 6: Final answer
    x = 84,265.98

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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.