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Finding the Fourth Proportional to 225,398, 311,058.96 and 124,796

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Solution

The fourth proportional to 225,398, 311,058.96 and 124,796 is: 172,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,398 : 311,058.96 = 124,796 : x
  2. Step 2: Convert to fraction form
    225,398/311,058.96 = 124,796/x
  3. Step 3: Cross multiply
    225,398x = 311,058.96 × 124,796
  4. Step 4: Simplify right side
    225,398x = 38,818,913,972.16
  5. Step 5: Solve for x
    x = 38,818,913,972.16/225,398
  6. Step 6: Final answer
    x = 172,223.86

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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.