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Finding the Fourth Proportional to 87,086.40, 130,687.78 and 31,682.40

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Solution

The fourth proportional to 87,086.40, 130,687.78 and 31,682.40 is: 47,544.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,086.40 : 130,687.78 = 31,682.40 : x
  2. Step 2: Convert to fraction form
    87,086.40/130,687.78 = 31,682.40/x
  3. Step 3: Cross multiply
    87,086.40x = 130,687.78 × 31,682.40
  4. Step 4: Simplify right side
    87,086.40x = 4,140,502,521.07
  5. Step 5: Solve for x
    x = 4,140,502,521.07/87,086.40
  6. Step 6: Final answer
    x = 47,544.77

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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.