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Finding the Fourth Proportional to 157,900, 217,902 and 90,832

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Solution

The fourth proportional to 157,900, 217,902 and 90,832 is: 125,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,900 : 217,902 = 90,832 : x
  2. Step 2: Convert to fraction form
    157,900/217,902 = 90,832/x
  3. Step 3: Cross multiply
    157,900x = 217,902 × 90,832
  4. Step 4: Simplify right side
    157,900x = 19,792,474,464
  5. Step 5: Solve for x
    x = 19,792,474,464/157,900
  6. Step 6: Final answer
    x = 125,348.16

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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.