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Finding the Fourth Proportional to 257,615.98, 386,091.36 and 115,357.10

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Solution

The fourth proportional to 257,615.98, 386,091.36 and 115,357.10 is: 172,886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,615.98 : 386,091.36 = 115,357.10 : x
  2. Step 2: Convert to fraction form
    257,615.98/386,091.36 = 115,357.10/x
  3. Step 3: Cross multiply
    257,615.98x = 386,091.36 × 115,357.10
  4. Step 4: Simplify right side
    257,615.98x = 44,538,377,694.20
  5. Step 5: Solve for x
    x = 44,538,377,694.20/257,615.98
  6. Step 6: Final answer
    x = 172,886.71

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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.