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Finding the Fourth Proportional to 87,461.84, 131,082 and 55,859.72

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Solution

The fourth proportional to 87,461.84, 131,082 and 55,859.72 is: 83,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,461.84 : 131,082 = 55,859.72 : x
  2. Step 2: Convert to fraction form
    87,461.84/131,082 = 55,859.72/x
  3. Step 3: Cross multiply
    87,461.84x = 131,082 × 55,859.72
  4. Step 4: Simplify right side
    87,461.84x = 7,322,203,817.04
  5. Step 5: Solve for x
    x = 7,322,203,817.04/87,461.84
  6. Step 6: Final answer
    x = 83,718.84

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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.