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Finding the Fourth Proportional to 74,472.42, 111,716.84 and 21,886

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Solution

The fourth proportional to 74,472.42, 111,716.84 and 21,886 is: 32,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,472.42 : 111,716.84 = 21,886 : x
  2. Step 2: Convert to fraction form
    74,472.42/111,716.84 = 21,886/x
  3. Step 3: Cross multiply
    74,472.42x = 111,716.84 × 21,886
  4. Step 4: Simplify right side
    74,472.42x = 2,445,034,760.24
  5. Step 5: Solve for x
    x = 2,445,034,760.24/74,472.42
  6. Step 6: Final answer
    x = 32,831.41

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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.