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Finding the Fourth Proportional to 225,402, 311,064.48 and 124,800

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Solution

The fourth proportional to 225,402, 311,064.48 and 124,800 is: 172,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,402 : 311,064.48 = 124,800 : x
  2. Step 2: Convert to fraction form
    225,402/311,064.48 = 124,800/x
  3. Step 3: Cross multiply
    225,402x = 311,064.48 × 124,800
  4. Step 4: Simplify right side
    225,402x = 38,820,847,104
  5. Step 5: Solve for x
    x = 38,820,847,104/225,402
  6. Step 6: Final answer
    x = 172,229.38

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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.