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Finding the Fourth Proportional to 257,406.67, 386,112.28 and 105,687.19

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Solution

The fourth proportional to 257,406.67, 386,112.28 and 105,687.19 is: 158,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,406.67 : 386,112.28 = 105,687.19 : x
  2. Step 2: Convert to fraction form
    257,406.67/386,112.28 = 105,687.19/x
  3. Step 3: Cross multiply
    257,406.67x = 386,112.28 × 105,687.19
  4. Step 4: Simplify right side
    257,406.67x = 40,807,119,438.70
  5. Step 5: Solve for x
    x = 40,807,119,438.70/257,406.67
  6. Step 6: Final answer
    x = 158,531.71

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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.