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Finding the Fourth Proportional to 223,843.12, 308,894.17 and 123,234.64

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Solution

The fourth proportional to 223,843.12, 308,894.17 and 123,234.64 is: 170,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,843.12 : 308,894.17 = 123,234.64 : x
  2. Step 2: Convert to fraction form
    223,843.12/308,894.17 = 123,234.64/x
  3. Step 3: Cross multiply
    223,843.12x = 308,894.17 × 123,234.64
  4. Step 4: Simplify right side
    223,843.12x = 38,066,459,677.40
  5. Step 5: Solve for x
    x = 38,066,459,677.40/223,843.12
  6. Step 6: Final answer
    x = 170,058.66

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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.