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Finding the Fourth Proportional to 257,992.29, 386,888.81 and 100,199.43

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Solution

The fourth proportional to 257,992.29, 386,888.81 and 100,199.43 is: 150,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,992.29 : 386,888.81 = 100,199.43 : x
  2. Step 2: Convert to fraction form
    257,992.29/386,888.81 = 100,199.43/x
  3. Step 3: Cross multiply
    257,992.29x = 386,888.81 × 100,199.43
  4. Step 4: Simplify right side
    257,992.29x = 38,766,037,734.38
  5. Step 5: Solve for x
    x = 38,766,037,734.38/257,992.29
  6. Step 6: Final answer
    x = 150,260.45

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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.