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Finding the Fourth Proportional to 219,744, 303,212.16 and 124,220.16

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Solution

The fourth proportional to 219,744, 303,212.16 and 124,220.16 is: 171,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,744 : 303,212.16 = 124,220.16 : x
  2. Step 2: Convert to fraction form
    219,744/303,212.16 = 124,220.16/x
  3. Step 3: Cross multiply
    219,744x = 303,212.16 × 124,220.16
  4. Step 4: Simplify right side
    219,744x = 37,665,063,029.15
  5. Step 5: Solve for x
    x = 37,665,063,029.15/219,744
  6. Step 6: Final answer
    x = 171,404.28

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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.