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Finding the Fourth Proportional to 257,612.10, 386,344.31 and 86,815.22

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Solution

The fourth proportional to 257,612.10, 386,344.31 and 86,815.22 is: 130,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,612.10 : 386,344.31 = 86,815.22 : x
  2. Step 2: Convert to fraction form
    257,612.10/386,344.31 = 86,815.22/x
  3. Step 3: Cross multiply
    257,612.10x = 386,344.31 × 86,815.22
  4. Step 4: Simplify right side
    257,612.10x = 33,540,563,902.60
  5. Step 5: Solve for x
    x = 33,540,563,902.60/257,612.10
  6. Step 6: Final answer
    x = 130,197.94

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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.