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Finding the Fourth Proportional to 82,169.65, 113,363.85 and 53,913.61

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Solution

The fourth proportional to 82,169.65, 113,363.85 and 53,913.61 is: 74,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,169.65 : 113,363.85 = 53,913.61 : x
  2. Step 2: Convert to fraction form
    82,169.65/113,363.85 = 53,913.61/x
  3. Step 3: Cross multiply
    82,169.65x = 113,363.85 × 53,913.61
  4. Step 4: Simplify right side
    82,169.65x = 6,111,854,397.00
  5. Step 5: Solve for x
    x = 6,111,854,397.00/82,169.65
  6. Step 6: Final answer
    x = 74,380.92

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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.