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Finding the Fourth Proportional to 87,092.16, 120,189.60 and 61,644

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Solution

The fourth proportional to 87,092.16, 120,189.60 and 61,644 is: 85,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,092.16 : 120,189.60 = 61,644 : x
  2. Step 2: Convert to fraction form
    87,092.16/120,189.60 = 61,644/x
  3. Step 3: Cross multiply
    87,092.16x = 120,189.60 × 61,644
  4. Step 4: Simplify right side
    87,092.16x = 7,408,967,702.40
  5. Step 5: Solve for x
    x = 7,408,967,702.40/87,092.16
  6. Step 6: Final answer
    x = 85,070.43

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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.