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Finding the Fourth Proportional to 257,610.60, 386,342.06 and 86,813.71

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Solution

The fourth proportional to 257,610.60, 386,342.06 and 86,813.71 is: 130,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,610.60 : 386,342.06 = 86,813.71 : x
  2. Step 2: Convert to fraction form
    257,610.60/386,342.06 = 86,813.71/x
  3. Step 3: Cross multiply
    257,610.60x = 386,342.06 × 86,813.71
  4. Step 4: Simplify right side
    257,610.60x = 33,539,786,157.72
  5. Step 5: Solve for x
    x = 33,539,786,157.72/257,610.60
  6. Step 6: Final answer
    x = 130,195.68

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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.