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Finding the Fourth Proportional to 230,962, 318,728.52 and 124,978

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Solution

The fourth proportional to 230,962, 318,728.52 and 124,978 is: 172,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,962 : 318,728.52 = 124,978 : x
  2. Step 2: Convert to fraction form
    230,962/318,728.52 = 124,978/x
  3. Step 3: Cross multiply
    230,962x = 318,728.52 × 124,978
  4. Step 4: Simplify right side
    230,962x = 39,834,052,972.56
  5. Step 5: Solve for x
    x = 39,834,052,972.56/230,962
  6. Step 6: Final answer
    x = 172,470.16

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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.