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Finding the Fourth Proportional to 223,701.80, 308,721.76 and 128,214.65

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Solution

The fourth proportional to 223,701.80, 308,721.76 and 128,214.65 is: 176,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,701.80 : 308,721.76 = 128,214.65 : x
  2. Step 2: Convert to fraction form
    223,701.80/308,721.76 = 128,214.65/x
  3. Step 3: Cross multiply
    223,701.80x = 308,721.76 × 128,214.65
  4. Step 4: Simplify right side
    223,701.80x = 39,582,652,857.05
  5. Step 5: Solve for x
    x = 39,582,652,857.05/223,701.80
  6. Step 6: Final answer
    x = 176,943.83

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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.