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Finding the Fourth Proportional to 73,784.67, 110,681.87 and 21,194.61

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Solution

The fourth proportional to 73,784.67, 110,681.87 and 21,194.61 is: 31,793.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,784.67 : 110,681.87 = 21,194.61 : x
  2. Step 2: Convert to fraction form
    73,784.67/110,681.87 = 21,194.61/x
  3. Step 3: Cross multiply
    73,784.67x = 110,681.87 × 21,194.61
  4. Step 4: Simplify right side
    73,784.67x = 2,345,858,962.75
  5. Step 5: Solve for x
    x = 2,345,858,962.75/73,784.67
  6. Step 6: Final answer
    x = 31,793.31

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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.