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Finding the Fourth Proportional to 87,215, 130,815.78 and 49,657.16

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Solution

The fourth proportional to 87,215, 130,815.78 and 49,657.16 is: 74,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,215 : 130,815.78 = 49,657.16 : x
  2. Step 2: Convert to fraction form
    87,215/130,815.78 = 49,657.16/x
  3. Step 3: Cross multiply
    87,215x = 130,815.78 × 49,657.16
  4. Step 4: Simplify right side
    87,215x = 6,495,940,117.98
  5. Step 5: Solve for x
    x = 6,495,940,117.98/87,215
  6. Step 6: Final answer
    x = 74,481.91

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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.