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Finding the Fourth Proportional to 230,728, 318,404.64 and 124,744

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Solution

The fourth proportional to 230,728, 318,404.64 and 124,744 is: 172,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,728 : 318,404.64 = 124,744 : x
  2. Step 2: Convert to fraction form
    230,728/318,404.64 = 124,744/x
  3. Step 3: Cross multiply
    230,728x = 318,404.64 × 124,744
  4. Step 4: Simplify right side
    230,728x = 39,719,068,412.16
  5. Step 5: Solve for x
    x = 39,719,068,412.16/230,728
  6. Step 6: Final answer
    x = 172,146.72

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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.