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Finding the Fourth Proportional to 90,046.62, 124,258.12 and 49,760

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Solution

The fourth proportional to 90,046.62, 124,258.12 and 49,760 is: 68,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,046.62 : 124,258.12 = 49,760 : x
  2. Step 2: Convert to fraction form
    90,046.62/124,258.12 = 49,760/x
  3. Step 3: Cross multiply
    90,046.62x = 124,258.12 × 49,760
  4. Step 4: Simplify right side
    90,046.62x = 6,183,084,051.20
  5. Step 5: Solve for x
    x = 6,183,084,051.20/90,046.62
  6. Step 6: Final answer
    x = 68,665.37

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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.