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Finding the Fourth Proportional to 66,831.65, 100,268.54 and 40,206.75

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Solution

The fourth proportional to 66,831.65, 100,268.54 and 40,206.75 is: 60,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,831.65 : 100,268.54 = 40,206.75 : x
  2. Step 2: Convert to fraction form
    66,831.65/100,268.54 = 40,206.75/x
  3. Step 3: Cross multiply
    66,831.65x = 100,268.54 × 40,206.75
  4. Step 4: Simplify right side
    66,831.65x = 4,031,471,919.61
  5. Step 5: Solve for x
    x = 4,031,471,919.61/66,831.65
  6. Step 6: Final answer
    x = 60,322.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.