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Finding the Fourth Proportional to 78,065.46, 117,163.80 and 33,726.06

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Solution

The fourth proportional to 78,065.46, 117,163.80 and 33,726.06 is: 50,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,065.46 : 117,163.80 = 33,726.06 : x
  2. Step 2: Convert to fraction form
    78,065.46/117,163.80 = 33,726.06/x
  3. Step 3: Cross multiply
    78,065.46x = 117,163.80 × 33,726.06
  4. Step 4: Simplify right side
    78,065.46x = 3,951,473,348.63
  5. Step 5: Solve for x
    x = 3,951,473,348.63/78,065.46
  6. Step 6: Final answer
    x = 50,617.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.