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Finding the Fourth Proportional to 223,687.86, 308,696.52 and 128,212.56

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Solution

The fourth proportional to 223,687.86, 308,696.52 and 128,212.56 is: 176,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,687.86 : 308,696.52 = 128,212.56 : x
  2. Step 2: Convert to fraction form
    223,687.86/308,696.52 = 128,212.56/x
  3. Step 3: Cross multiply
    223,687.86x = 308,696.52 × 128,212.56
  4. Step 4: Simplify right side
    223,687.86x = 39,578,771,092.29
  5. Step 5: Solve for x
    x = 39,578,771,092.29/223,687.86
  6. Step 6: Final answer
    x = 176,937.50

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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.