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Finding the Fourth Proportional to 113,845, 157,107.72 and 63,544

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Solution

The fourth proportional to 113,845, 157,107.72 and 63,544 is: 87,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,845 : 157,107.72 = 63,544 : x
  2. Step 2: Convert to fraction form
    113,845/157,107.72 = 63,544/x
  3. Step 3: Cross multiply
    113,845x = 157,107.72 × 63,544
  4. Step 4: Simplify right side
    113,845x = 9,983,252,959.68
  5. Step 5: Solve for x
    x = 9,983,252,959.68/113,845
  6. Step 6: Final answer
    x = 87,691.62

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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.