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Finding the Fourth Proportional to 157,831, 217,813.28 and 90,763

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Solution

The fourth proportional to 157,831, 217,813.28 and 90,763 is: 125,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,831 : 217,813.28 = 90,763 : x
  2. Step 2: Convert to fraction form
    157,831/217,813.28 = 90,763/x
  3. Step 3: Cross multiply
    157,831x = 217,813.28 × 90,763
  4. Step 4: Simplify right side
    157,831x = 19,769,386,732.64
  5. Step 5: Solve for x
    x = 19,769,386,732.64/157,831
  6. Step 6: Final answer
    x = 125,256.68

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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.