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Finding the Fourth Proportional to 68,477.66, 102,716.46 and 25,791.14

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Solution

The fourth proportional to 68,477.66, 102,716.46 and 25,791.14 is: 38,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,477.66 : 102,716.46 = 25,791.14 : x
  2. Step 2: Convert to fraction form
    68,477.66/102,716.46 = 25,791.14/x
  3. Step 3: Cross multiply
    68,477.66x = 102,716.46 × 25,791.14
  4. Step 4: Simplify right side
    68,477.66x = 2,649,174,600.16
  5. Step 5: Solve for x
    x = 2,649,174,600.16/68,477.66
  6. Step 6: Final answer
    x = 38,686.70

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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.