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Finding the Fourth Proportional to 85,278.32, 127,960.68 and 57,518

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Solution

The fourth proportional to 85,278.32, 127,960.68 and 57,518 is: 86,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,278.32 : 127,960.68 = 57,518 : x
  2. Step 2: Convert to fraction form
    85,278.32/127,960.68 = 57,518/x
  3. Step 3: Cross multiply
    85,278.32x = 127,960.68 × 57,518
  4. Step 4: Simplify right side
    85,278.32x = 7,360,042,392.24
  5. Step 5: Solve for x
    x = 7,360,042,392.24/85,278.32
  6. Step 6: Final answer
    x = 86,306.14

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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.