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Finding the Fourth Proportional to 159,910.34, 239,866.38 and 66,416.09

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Solution

The fourth proportional to 159,910.34, 239,866.38 and 66,416.09 is: 99,624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,910.34 : 239,866.38 = 66,416.09 : x
  2. Step 2: Convert to fraction form
    159,910.34/239,866.38 = 66,416.09/x
  3. Step 3: Cross multiply
    159,910.34x = 239,866.38 × 66,416.09
  4. Step 4: Simplify right side
    159,910.34x = 15,930,985,882.72
  5. Step 5: Solve for x
    x = 15,930,985,882.72/159,910.34
  6. Step 6: Final answer
    x = 99,624.49

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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.