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Finding the Fourth Proportional to 65,976.16, 91,002 and 40,781.92

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Solution

The fourth proportional to 65,976.16, 91,002 and 40,781.92 is: 56,251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,976.16 : 91,002 = 40,781.92 : x
  2. Step 2: Convert to fraction form
    65,976.16/91,002 = 40,781.92/x
  3. Step 3: Cross multiply
    65,976.16x = 91,002 × 40,781.92
  4. Step 4: Simplify right side
    65,976.16x = 3,711,236,283.84
  5. Step 5: Solve for x
    x = 3,711,236,283.84/65,976.16
  6. Step 6: Final answer
    x = 56,251.17

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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.