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Finding the Fourth Proportional to 87,642, 120,945.96 and 47,898

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Solution

The fourth proportional to 87,642, 120,945.96 and 47,898 is: 66,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,642 : 120,945.96 = 47,898 : x
  2. Step 2: Convert to fraction form
    87,642/120,945.96 = 47,898/x
  3. Step 3: Cross multiply
    87,642x = 120,945.96 × 47,898
  4. Step 4: Simplify right side
    87,642x = 5,793,069,592.08
  5. Step 5: Solve for x
    x = 5,793,069,592.08/87,642
  6. Step 6: Final answer
    x = 66,099.24

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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.