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Finding the Fourth Proportional to 230,892.80, 318,629.04 and 128,920

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Solution

The fourth proportional to 230,892.80, 318,629.04 and 128,920 is: 177,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,892.80 : 318,629.04 = 128,920 : x
  2. Step 2: Convert to fraction form
    230,892.80/318,629.04 = 128,920/x
  3. Step 3: Cross multiply
    230,892.80x = 318,629.04 × 128,920
  4. Step 4: Simplify right side
    230,892.80x = 41,077,655,836.80
  5. Step 5: Solve for x
    x = 41,077,655,836.80/230,892.80
  6. Step 6: Final answer
    x = 177,907.91

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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.