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Finding the Fourth Proportional to 210,766.56, 290,863.56 and 115,278.88

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Solution

The fourth proportional to 210,766.56, 290,863.56 and 115,278.88 is: 159,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,766.56 : 290,863.56 = 115,278.88 : x
  2. Step 2: Convert to fraction form
    210,766.56/290,863.56 = 115,278.88/x
  3. Step 3: Cross multiply
    210,766.56x = 290,863.56 × 115,278.88
  4. Step 4: Simplify right side
    210,766.56x = 33,530,425,429.61
  5. Step 5: Solve for x
    x = 33,530,425,429.61/210,766.56
  6. Step 6: Final answer
    x = 159,087.98

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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.