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Finding the Fourth Proportional to 110,816.64, 152,906.70 and 65,502

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Solution

The fourth proportional to 110,816.64, 152,906.70 and 65,502 is: 90,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,816.64 : 152,906.70 = 65,502 : x
  2. Step 2: Convert to fraction form
    110,816.64/152,906.70 = 65,502/x
  3. Step 3: Cross multiply
    110,816.64x = 152,906.70 × 65,502
  4. Step 4: Simplify right side
    110,816.64x = 10,015,694,663.40
  5. Step 5: Solve for x
    x = 10,015,694,663.40/110,816.64
  6. Step 6: Final answer
    x = 90,380.78

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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.