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Finding the Fourth Proportional to 87,207.76, 130,824.87 and 37,288

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Solution

The fourth proportional to 87,207.76, 130,824.87 and 37,288 is: 55,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,207.76 : 130,824.87 = 37,288 : x
  2. Step 2: Convert to fraction form
    87,207.76/130,824.87 = 37,288/x
  3. Step 3: Cross multiply
    87,207.76x = 130,824.87 × 37,288
  4. Step 4: Simplify right side
    87,207.76x = 4,878,197,752.56
  5. Step 5: Solve for x
    x = 4,878,197,752.56/87,207.76
  6. Step 6: Final answer
    x = 55,937.66

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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.