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Finding the Fourth Proportional to 257,770.25, 386,689.34 and 95,642.25

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Solution

The fourth proportional to 257,770.25, 386,689.34 and 95,642.25 is: 143,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,770.25 : 386,689.34 = 95,642.25 : x
  2. Step 2: Convert to fraction form
    257,770.25/386,689.34 = 95,642.25/x
  3. Step 3: Cross multiply
    257,770.25x = 386,689.34 × 95,642.25
  4. Step 4: Simplify right side
    257,770.25x = 36,983,836,116.96
  5. Step 5: Solve for x
    x = 36,983,836,116.96/257,770.25
  6. Step 6: Final answer
    x = 143,475.97

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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.