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Finding the Fourth Proportional to 230,734, 318,412.92 and 124,750

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Solution

The fourth proportional to 230,734, 318,412.92 and 124,750 is: 172,155

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,734 : 318,412.92 = 124,750 : x
  2. Step 2: Convert to fraction form
    230,734/318,412.92 = 124,750/x
  3. Step 3: Cross multiply
    230,734x = 318,412.92 × 124,750
  4. Step 4: Simplify right side
    230,734x = 39,722,011,770
  5. Step 5: Solve for x
    x = 39,722,011,770/230,734
  6. Step 6: Final answer
    x = 172,155

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.