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Finding the Fourth Proportional to 111,831.68, 167,742.48 and 31,869.92

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Solution

The fourth proportional to 111,831.68, 167,742.48 and 31,869.92 is: 47,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,831.68 : 167,742.48 = 31,869.92 : x
  2. Step 2: Convert to fraction form
    111,831.68/167,742.48 = 31,869.92/x
  3. Step 3: Cross multiply
    111,831.68x = 167,742.48 × 31,869.92
  4. Step 4: Simplify right side
    111,831.68x = 5,345,939,418.20
  5. Step 5: Solve for x
    x = 5,345,939,418.20/111,831.68
  6. Step 6: Final answer
    x = 47,803.44

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