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Finding the Fourth Proportional to 73,780.80, 110,659.32 and 21,178.32

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Solution

The fourth proportional to 73,780.80, 110,659.32 and 21,178.32 is: 31,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,780.80 : 110,659.32 = 21,178.32 : x
  2. Step 2: Convert to fraction form
    73,780.80/110,659.32 = 21,178.32/x
  3. Step 3: Cross multiply
    73,780.80x = 110,659.32 × 21,178.32
  4. Step 4: Simplify right side
    73,780.80x = 2,343,578,489.94
  5. Step 5: Solve for x
    x = 2,343,578,489.94/73,780.80
  6. Step 6: Final answer
    x = 31,764.07

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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.