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Finding the Fourth Proportional to 80,712, 111,383.04 and 47,171.52

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Solution

The fourth proportional to 80,712, 111,383.04 and 47,171.52 is: 65,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,712 : 111,383.04 = 47,171.52 : x
  2. Step 2: Convert to fraction form
    80,712/111,383.04 = 47,171.52/x
  3. Step 3: Cross multiply
    80,712x = 111,383.04 × 47,171.52
  4. Step 4: Simplify right side
    80,712x = 5,254,107,299.02
  5. Step 5: Solve for x
    x = 5,254,107,299.02/80,712
  6. Step 6: Final answer
    x = 65,096.98

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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.