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Finding the Fourth Proportional to 73,770.66, 110,655.27 and 21,180.06

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Solution

The fourth proportional to 73,770.66, 110,655.27 and 21,180.06 is: 31,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,770.66 : 110,655.27 = 21,180.06 : x
  2. Step 2: Convert to fraction form
    73,770.66/110,655.27 = 21,180.06/x
  3. Step 3: Cross multiply
    73,770.66x = 110,655.27 × 21,180.06
  4. Step 4: Simplify right side
    73,770.66x = 2,343,685,257.92
  5. Step 5: Solve for x
    x = 2,343,685,257.92/73,770.66
  6. Step 6: Final answer
    x = 31,769.88

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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.