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Finding the Fourth Proportional to 150,478.71, 225,731.94 and 54,439.95

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Solution

The fourth proportional to 150,478.71, 225,731.94 and 54,439.95 is: 81,664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,478.71 : 225,731.94 = 54,439.95 : x
  2. Step 2: Convert to fraction form
    150,478.71/225,731.94 = 54,439.95/x
  3. Step 3: Cross multiply
    150,478.71x = 225,731.94 × 54,439.95
  4. Step 4: Simplify right side
    150,478.71x = 12,288,835,527.00
  5. Step 5: Solve for x
    x = 12,288,835,527.00/150,478.71
  6. Step 6: Final answer
    x = 81,664.94

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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.