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Finding the Fourth Proportional to 65,448, 90,319.20 and 35,640

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Solution

The fourth proportional to 65,448, 90,319.20 and 35,640 is: 49,183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,448 : 90,319.20 = 35,640 : x
  2. Step 2: Convert to fraction form
    65,448/90,319.20 = 35,640/x
  3. Step 3: Cross multiply
    65,448x = 90,319.20 × 35,640
  4. Step 4: Simplify right side
    65,448x = 3,218,976,288
  5. Step 5: Solve for x
    x = 3,218,976,288/65,448
  6. Step 6: Final answer
    x = 49,183.72

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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.