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Finding the Fourth Proportional to 230,640, 318,283.20 and 124,656

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Solution

The fourth proportional to 230,640, 318,283.20 and 124,656 is: 172,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,640 : 318,283.20 = 124,656 : x
  2. Step 2: Convert to fraction form
    230,640/318,283.20 = 124,656/x
  3. Step 3: Cross multiply
    230,640x = 318,283.20 × 124,656
  4. Step 4: Simplify right side
    230,640x = 39,675,910,579.20
  5. Step 5: Solve for x
    x = 39,675,910,579.20/230,640
  6. Step 6: Final answer
    x = 172,025.28

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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.