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Finding the Fourth Proportional to 86,853, 119,857.18 and 49,126.44

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Solution

The fourth proportional to 86,853, 119,857.18 and 49,126.44 is: 67,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,853 : 119,857.18 = 49,126.44 : x
  2. Step 2: Convert to fraction form
    86,853/119,857.18 = 49,126.44/x
  3. Step 3: Cross multiply
    86,853x = 119,857.18 × 49,126.44
  4. Step 4: Simplify right side
    86,853x = 5,888,156,561.84
  5. Step 5: Solve for x
    x = 5,888,156,561.84/86,853
  6. Step 6: Final answer
    x = 67,794.51

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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.