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Finding the Fourth Proportional to 225,992, 311,868.12 and 124,019.20

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Solution

The fourth proportional to 225,992, 311,868.12 and 124,019.20 is: 171,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,992 : 311,868.12 = 124,019.20 : x
  2. Step 2: Convert to fraction form
    225,992/311,868.12 = 124,019.20/x
  3. Step 3: Cross multiply
    225,992x = 311,868.12 × 124,019.20
  4. Step 4: Simplify right side
    225,992x = 38,677,634,747.90
  5. Step 5: Solve for x
    x = 38,677,634,747.90/225,992
  6. Step 6: Final answer
    x = 171,146.04

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1.5x scale

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.