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Finding the Fourth Proportional to 82,809.76, 124,059.12 and 64,251.04

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Solution

The fourth proportional to 82,809.76, 124,059.12 and 64,251.04 is: 96,255.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,809.76 : 124,059.12 = 64,251.04 : x
  2. Step 2: Convert to fraction form
    82,809.76/124,059.12 = 64,251.04/x
  3. Step 3: Cross multiply
    82,809.76x = 124,059.12 × 64,251.04
  4. Step 4: Simplify right side
    82,809.76x = 7,970,927,481.48
  5. Step 5: Solve for x
    x = 7,970,927,481.48/82,809.76
  6. Step 6: Final answer
    x = 96,255.89

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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.