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Finding the Fourth Proportional to 67,006.34, 100,524.09 and 20,258

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Solution

The fourth proportional to 67,006.34, 100,524.09 and 20,258 is: 30,391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,006.34 : 100,524.09 = 20,258 : x
  2. Step 2: Convert to fraction form
    67,006.34/100,524.09 = 20,258/x
  3. Step 3: Cross multiply
    67,006.34x = 100,524.09 × 20,258
  4. Step 4: Simplify right side
    67,006.34x = 2,036,417,015.22
  5. Step 5: Solve for x
    x = 2,036,417,015.22/67,006.34
  6. Step 6: Final answer
    x = 30,391.41

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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.