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Finding the Fourth Proportional to 257,992.80, 386,872.56 and 91,785.12

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Solution

The fourth proportional to 257,992.80, 386,872.56 and 91,785.12 is: 137,636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,992.80 : 386,872.56 = 91,785.12 : x
  2. Step 2: Convert to fraction form
    257,992.80/386,872.56 = 91,785.12/x
  3. Step 3: Cross multiply
    257,992.80x = 386,872.56 × 91,785.12
  4. Step 4: Simplify right side
    257,992.80x = 35,509,144,344.31
  5. Step 5: Solve for x
    x = 35,509,144,344.31/257,992.80
  6. Step 6: Final answer
    x = 137,636.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.