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Finding the Fourth Proportional to 65,727, 90,703.44 and 35,919

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Solution

The fourth proportional to 65,727, 90,703.44 and 35,919 is: 49,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,727 : 90,703.44 = 35,919 : x
  2. Step 2: Convert to fraction form
    65,727/90,703.44 = 35,919/x
  3. Step 3: Cross multiply
    65,727x = 90,703.44 × 35,919
  4. Step 4: Simplify right side
    65,727x = 3,257,976,861.36
  5. Step 5: Solve for x
    x = 3,257,976,861.36/65,727
  6. Step 6: Final answer
    x = 49,568.32

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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.