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Finding the Fourth Proportional to 254,197, 381,218.70 and 76,689.16

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Solution

The fourth proportional to 254,197, 381,218.70 and 76,689.16 is: 115,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,197 : 381,218.70 = 76,689.16 : x
  2. Step 2: Convert to fraction form
    254,197/381,218.70 = 76,689.16/x
  3. Step 3: Cross multiply
    254,197x = 381,218.70 × 76,689.16
  4. Step 4: Simplify right side
    254,197x = 29,235,341,879.29
  5. Step 5: Solve for x
    x = 29,235,341,879.29/254,197
  6. Step 6: Final answer
    x = 115,010.57

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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.