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Finding the Fourth Proportional to 225,514, 311,219.58 and 124,912

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Solution

The fourth proportional to 225,514, 311,219.58 and 124,912 is: 172,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,514 : 311,219.58 = 124,912 : x
  2. Step 2: Convert to fraction form
    225,514/311,219.58 = 124,912/x
  3. Step 3: Cross multiply
    225,514x = 311,219.58 × 124,912
  4. Step 4: Simplify right side
    225,514x = 38,875,060,176.96
  5. Step 5: Solve for x
    x = 38,875,060,176.96/225,514
  6. Step 6: Final answer
    x = 172,384.24

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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.