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Finding the Fourth Proportional to 87,351.84, 130,934.34 and 45,189.50

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Solution

The fourth proportional to 87,351.84, 130,934.34 and 45,189.50 is: 67,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,351.84 : 130,934.34 = 45,189.50 : x
  2. Step 2: Convert to fraction form
    87,351.84/130,934.34 = 45,189.50/x
  3. Step 3: Cross multiply
    87,351.84x = 130,934.34 × 45,189.50
  4. Step 4: Simplify right side
    87,351.84x = 5,916,856,702.76
  5. Step 5: Solve for x
    x = 5,916,856,702.76/87,351.84
  6. Step 6: Final answer
    x = 67,735.91

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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.