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Finding the Fourth Proportional to 87,211.40, 130,826.70 and 31,819.40

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Solution

The fourth proportional to 87,211.40, 130,826.70 and 31,819.40 is: 47,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,211.40 : 130,826.70 = 31,819.40 : x
  2. Step 2: Convert to fraction form
    87,211.40/130,826.70 = 31,819.40/x
  3. Step 3: Cross multiply
    87,211.40x = 130,826.70 × 31,819.40
  4. Step 4: Simplify right side
    87,211.40x = 4,162,827,097.98
  5. Step 5: Solve for x
    x = 4,162,827,097.98/87,211.40
  6. Step 6: Final answer
    x = 47,732.60

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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.