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Finding the Fourth Proportional to 74,471.42, 111,715.34 and 21,885

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Solution

The fourth proportional to 74,471.42, 111,715.34 and 21,885 is: 32,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,471.42 : 111,715.34 = 21,885 : x
  2. Step 2: Convert to fraction form
    74,471.42/111,715.34 = 21,885/x
  3. Step 3: Cross multiply
    74,471.42x = 111,715.34 × 21,885
  4. Step 4: Simplify right side
    74,471.42x = 2,444,890,106.48
  5. Step 5: Solve for x
    x = 2,444,890,106.48/74,471.42
  6. Step 6: Final answer
    x = 32,829.91

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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.