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Finding the Fourth Proportional to 57,806.10, 86,714.91 and 15,686.87

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Solution

The fourth proportional to 57,806.10, 86,714.91 and 15,686.87 is: 23,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,806.10 : 86,714.91 = 15,686.87 : x
  2. Step 2: Convert to fraction form
    57,806.10/86,714.91 = 15,686.87/x
  3. Step 3: Cross multiply
    57,806.10x = 86,714.91 × 15,686.87
  4. Step 4: Simplify right side
    57,806.10x = 1,360,285,086.66
  5. Step 5: Solve for x
    x = 1,360,285,086.66/57,806.10
  6. Step 6: Final answer
    x = 23,531.86

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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.