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Finding the Fourth Proportional to 100,409.08, 150,521.46 and 34,699

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Solution

The fourth proportional to 100,409.08, 150,521.46 and 34,699 is: 52,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409.08 : 150,521.46 = 34,699 : x
  2. Step 2: Convert to fraction form
    100,409.08/150,521.46 = 34,699/x
  3. Step 3: Cross multiply
    100,409.08x = 150,521.46 × 34,699
  4. Step 4: Simplify right side
    100,409.08x = 5,222,944,140.54
  5. Step 5: Solve for x
    x = 5,222,944,140.54/100,409.08
  6. Step 6: Final answer
    x = 52,016.65

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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.