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Finding the Fourth Proportional to 65,831.42, 90,847.14 and 35,616.78

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Solution

The fourth proportional to 65,831.42, 90,847.14 and 35,616.78 is: 49,151.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,831.42 : 90,847.14 = 35,616.78 : x
  2. Step 2: Convert to fraction form
    65,831.42/90,847.14 = 35,616.78/x
  3. Step 3: Cross multiply
    65,831.42x = 90,847.14 × 35,616.78
  4. Step 4: Simplify right side
    65,831.42x = 3,235,682,599.01
  5. Step 5: Solve for x
    x = 3,235,682,599.01/65,831.42
  6. Step 6: Final answer
    x = 49,151.04

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1.5x scale

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.