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Finding the Fourth Proportional to 223,713.61, 308,724.83 and 123,111.61

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Solution

The fourth proportional to 223,713.61, 308,724.83 and 123,111.61 is: 169,894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,713.61 : 308,724.83 = 123,111.61 : x
  2. Step 2: Convert to fraction form
    223,713.61/308,724.83 = 123,111.61/x
  3. Step 3: Cross multiply
    223,713.61x = 308,724.83 × 123,111.61
  4. Step 4: Simplify right side
    223,713.61x = 38,007,610,404.24
  5. Step 5: Solve for x
    x = 38,007,610,404.24/223,713.61
  6. Step 6: Final answer
    x = 169,894.05

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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.