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Finding the Fourth Proportional to 81,842.65, 122,714.56 and 31,913.17

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Solution

The fourth proportional to 81,842.65, 122,714.56 and 31,913.17 is: 47,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,842.65 : 122,714.56 = 31,913.17 : x
  2. Step 2: Convert to fraction form
    81,842.65/122,714.56 = 31,913.17/x
  3. Step 3: Cross multiply
    81,842.65x = 122,714.56 × 31,913.17
  4. Step 4: Simplify right side
    81,842.65x = 3,916,210,347.86
  5. Step 5: Solve for x
    x = 3,916,210,347.86/81,842.65
  6. Step 6: Final answer
    x = 47,850.48

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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.