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Finding the Fourth Proportional to 230,416, 317,974.08 and 124,432

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Solution

The fourth proportional to 230,416, 317,974.08 and 124,432 is: 171,716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,416 : 317,974.08 = 124,432 : x
  2. Step 2: Convert to fraction form
    230,416/317,974.08 = 124,432/x
  3. Step 3: Cross multiply
    230,416x = 317,974.08 × 124,432
  4. Step 4: Simplify right side
    230,416x = 39,566,150,722.56
  5. Step 5: Solve for x
    x = 39,566,150,722.56/230,416
  6. Step 6: Final answer
    x = 171,716.16

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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.