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Finding the Fourth Proportional to 225,524, 311,223.12 and 136,100

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Solution

The fourth proportional to 225,524, 311,223.12 and 136,100 is: 187,818

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,524 : 311,223.12 = 136,100 : x
  2. Step 2: Convert to fraction form
    225,524/311,223.12 = 136,100/x
  3. Step 3: Cross multiply
    225,524x = 311,223.12 × 136,100
  4. Step 4: Simplify right side
    225,524x = 42,357,466,632
  5. Step 5: Solve for x
    x = 42,357,466,632/225,524
  6. Step 6: Final answer
    x = 187,818

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.