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Finding the Fourth Proportional to 188,926.51, 260,713.51 and 102,883.78

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Solution

The fourth proportional to 188,926.51, 260,713.51 and 102,883.78 is: 141,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,926.51 : 260,713.51 = 102,883.78 : x
  2. Step 2: Convert to fraction form
    188,926.51/260,713.51 = 102,883.78/x
  3. Step 3: Cross multiply
    188,926.51x = 260,713.51 × 102,883.78
  4. Step 4: Simplify right side
    188,926.51x = 26,823,190,102.30
  5. Step 5: Solve for x
    x = 26,823,190,102.30/188,926.51
  6. Step 6: Final answer
    x = 141,976.85

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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.