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Finding the Fourth Proportional to 223,197.78, 308,066.02 and 127,759.52

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Solution

The fourth proportional to 223,197.78, 308,066.02 and 127,759.52 is: 176,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,197.78 : 308,066.02 = 127,759.52 : x
  2. Step 2: Convert to fraction form
    223,197.78/308,066.02 = 127,759.52/x
  3. Step 3: Cross multiply
    223,197.78x = 308,066.02 × 127,759.52
  4. Step 4: Simplify right side
    223,197.78x = 39,358,366,843.51
  5. Step 5: Solve for x
    x = 39,358,366,843.51/223,197.78
  6. Step 6: Final answer
    x = 176,338.52

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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.