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Finding the Fourth Proportional to 87,396.96, 131,082.48 and 31,980

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Solution

The fourth proportional to 87,396.96, 131,082.48 and 31,980 is: 47,965.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,396.96 : 131,082.48 = 31,980 : x
  2. Step 2: Convert to fraction form
    87,396.96/131,082.48 = 31,980/x
  3. Step 3: Cross multiply
    87,396.96x = 131,082.48 × 31,980
  4. Step 4: Simplify right side
    87,396.96x = 4,192,017,710.40
  5. Step 5: Solve for x
    x = 4,192,017,710.40/87,396.96
  6. Step 6: Final answer
    x = 47,965.26

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1.5x scale

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.