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Finding the Fourth Proportional to 85,102.97, 117,424.28 and 49,290.84

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Solution

The fourth proportional to 85,102.97, 117,424.28 and 49,290.84 is: 68,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,102.97 : 117,424.28 = 49,290.84 : x
  2. Step 2: Convert to fraction form
    85,102.97/117,424.28 = 49,290.84/x
  3. Step 3: Cross multiply
    85,102.97x = 117,424.28 × 49,290.84
  4. Step 4: Simplify right side
    85,102.97x = 5,787,941,151.14
  5. Step 5: Solve for x
    x = 5,787,941,151.14/85,102.97
  6. Step 6: Final answer
    x = 68,011.04

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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.