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Finding the Fourth Proportional to 72,191.84, 108,297.09 and 27,831.29

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Solution

The fourth proportional to 72,191.84, 108,297.09 and 27,831.29 is: 41,750.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,191.84 : 108,297.09 = 27,831.29 : x
  2. Step 2: Convert to fraction form
    72,191.84/108,297.09 = 27,831.29/x
  3. Step 3: Cross multiply
    72,191.84x = 108,297.09 × 27,831.29
  4. Step 4: Simplify right side
    72,191.84x = 3,014,047,176.46
  5. Step 5: Solve for x
    x = 3,014,047,176.46/72,191.84
  6. Step 6: Final answer
    x = 41,750.53

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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.