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Finding the Fourth Proportional to 81,951.96, 112,957.74 and 58,047.96

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Solution

The fourth proportional to 81,951.96, 112,957.74 and 58,047.96 is: 80,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,951.96 : 112,957.74 = 58,047.96 : x
  2. Step 2: Convert to fraction form
    81,951.96/112,957.74 = 58,047.96/x
  3. Step 3: Cross multiply
    81,951.96x = 112,957.74 × 58,047.96
  4. Step 4: Simplify right side
    81,951.96x = 6,556,966,373.21
  5. Step 5: Solve for x
    x = 6,556,966,373.21/81,951.96
  6. Step 6: Final answer
    x = 80,009.88

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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.