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Finding the Fourth Proportional to 66,776.76, 100,165.14 and 27,317.88

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Solution

The fourth proportional to 66,776.76, 100,165.14 and 27,317.88 is: 40,976.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,776.76 : 100,165.14 = 27,317.88 : x
  2. Step 2: Convert to fraction form
    66,776.76/100,165.14 = 27,317.88/x
  3. Step 3: Cross multiply
    66,776.76x = 100,165.14 × 27,317.88
  4. Step 4: Simplify right side
    66,776.76x = 2,736,299,274.70
  5. Step 5: Solve for x
    x = 2,736,299,274.70/66,776.76
  6. Step 6: Final answer
    x = 40,976.82

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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.