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Finding the Fourth Proportional to 257,615.85, 386,349.93 and 86,818.97

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Solution

The fourth proportional to 257,615.85, 386,349.93 and 86,818.97 is: 130,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,615.85 : 386,349.93 = 86,818.97 : x
  2. Step 2: Convert to fraction form
    257,615.85/386,349.93 = 86,818.97/x
  3. Step 3: Cross multiply
    257,615.85x = 386,349.93 × 86,818.97
  4. Step 4: Simplify right side
    257,615.85x = 33,542,501,050.42
  5. Step 5: Solve for x
    x = 33,542,501,050.42/257,615.85
  6. Step 6: Final answer
    x = 130,203.56

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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.