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Finding the Fourth Proportional to 107,850.25, 148,844.46 and 64,843.78

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Solution

The fourth proportional to 107,850.25, 148,844.46 and 64,843.78 is: 89,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,850.25 : 148,844.46 = 64,843.78 : x
  2. Step 2: Convert to fraction form
    107,850.25/148,844.46 = 64,843.78/x
  3. Step 3: Cross multiply
    107,850.25x = 148,844.46 × 64,843.78
  4. Step 4: Simplify right side
    107,850.25x = 9,651,637,418.46
  5. Step 5: Solve for x
    x = 9,651,637,418.46/107,850.25
  6. Step 6: Final answer
    x = 89,491.10

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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.