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Finding the Fourth Proportional to 109,391.91, 164,115.54 and 30,506.15

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Solution

The fourth proportional to 109,391.91, 164,115.54 and 30,506.15 is: 45,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,391.91 : 164,115.54 = 30,506.15 : x
  2. Step 2: Convert to fraction form
    109,391.91/164,115.54 = 30,506.15/x
  3. Step 3: Cross multiply
    109,391.91x = 164,115.54 × 30,506.15
  4. Step 4: Simplify right side
    109,391.91x = 5,006,532,459.99
  5. Step 5: Solve for x
    x = 5,006,532,459.99/109,391.91
  6. Step 6: Final answer
    x = 45,766.94

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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.