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Finding the Fourth Proportional to 87,032.88, 120,105.48 and 47,288.88

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Solution

The fourth proportional to 87,032.88, 120,105.48 and 47,288.88 is: 65,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,032.88 : 120,105.48 = 47,288.88 : x
  2. Step 2: Convert to fraction form
    87,032.88/120,105.48 = 47,288.88/x
  3. Step 3: Cross multiply
    87,032.88x = 120,105.48 × 47,288.88
  4. Step 4: Simplify right side
    87,032.88x = 5,679,653,631.06
  5. Step 5: Solve for x
    x = 5,679,653,631.06/87,032.88
  6. Step 6: Final answer
    x = 65,258.71

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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.