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Finding the Fourth Proportional to 47,712, 71,558.16 and 27,708.96

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Solution

The fourth proportional to 47,712, 71,558.16 and 27,708.96 is: 41,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712 : 71,558.16 = 27,708.96 : x
  2. Step 2: Convert to fraction form
    47,712/71,558.16 = 27,708.96/x
  3. Step 3: Cross multiply
    47,712x = 71,558.16 × 27,708.96
  4. Step 4: Simplify right side
    47,712x = 1,982,802,193.11
  5. Step 5: Solve for x
    x = 1,982,802,193.11/47,712
  6. Step 6: Final answer
    x = 41,557.73

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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.