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Finding the Fourth Proportional to 225,404.16, 311,058 and 124,800

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Solution

The fourth proportional to 225,404.16, 311,058 and 124,800 is: 172,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,404.16 : 311,058 = 124,800 : x
  2. Step 2: Convert to fraction form
    225,404.16/311,058 = 124,800/x
  3. Step 3: Cross multiply
    225,404.16x = 311,058 × 124,800
  4. Step 4: Simplify right side
    225,404.16x = 38,820,038,400
  5. Step 5: Solve for x
    x = 38,820,038,400/225,404.16
  6. Step 6: Final answer
    x = 172,224.14

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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.