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Finding the Fourth Proportional to 223,998, 309,117.24 and 123,398.16

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Solution

The fourth proportional to 223,998, 309,117.24 and 123,398.16 is: 170,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,998 : 309,117.24 = 123,398.16 : x
  2. Step 2: Convert to fraction form
    223,998/309,117.24 = 123,398.16/x
  3. Step 3: Cross multiply
    223,998x = 309,117.24 × 123,398.16
  4. Step 4: Simplify right side
    223,998x = 38,144,498,640.28
  5. Step 5: Solve for x
    x = 38,144,498,640.28/223,998
  6. Step 6: Final answer
    x = 170,289.46

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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.