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Finding the Fourth Proportional to 150,138, 225,207 and 56,621.88

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Solution

The fourth proportional to 150,138, 225,207 and 56,621.88 is: 84,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,138 : 225,207 = 56,621.88 : x
  2. Step 2: Convert to fraction form
    150,138/225,207 = 56,621.88/x
  3. Step 3: Cross multiply
    150,138x = 225,207 × 56,621.88
  4. Step 4: Simplify right side
    150,138x = 12,751,643,729.16
  5. Step 5: Solve for x
    x = 12,751,643,729.16/150,138
  6. Step 6: Final answer
    x = 84,932.82

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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.