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Finding the Fourth Proportional to 257,814.50, 386,744.36 and 106,020.90

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Solution

The fourth proportional to 257,814.50, 386,744.36 and 106,020.90 is: 159,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,814.50 : 386,744.36 = 106,020.90 : x
  2. Step 2: Convert to fraction form
    257,814.50/386,744.36 = 106,020.90/x
  3. Step 3: Cross multiply
    257,814.50x = 386,744.36 × 106,020.90
  4. Step 4: Simplify right side
    257,814.50x = 41,002,984,587.02
  5. Step 5: Solve for x
    x = 41,002,984,587.02/257,814.50
  6. Step 6: Final answer
    x = 159,040.65

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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.