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Finding the Fourth Proportional to 150,389.65, 225,584.64 and 45,208.61

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Solution

The fourth proportional to 150,389.65, 225,584.64 and 45,208.61 is: 67,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,389.65 : 225,584.64 = 45,208.61 : x
  2. Step 2: Convert to fraction form
    150,389.65/225,584.64 = 45,208.61/x
  3. Step 3: Cross multiply
    150,389.65x = 225,584.64 × 45,208.61
  4. Step 4: Simplify right side
    150,389.65x = 10,198,368,011.75
  5. Step 5: Solve for x
    x = 10,198,368,011.75/150,389.65
  6. Step 6: Final answer
    x = 67,812.96

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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.