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Finding the Fourth Proportional to 67,784.50, 101,691.64 and 27,803.72

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Solution

The fourth proportional to 67,784.50, 101,691.64 and 27,803.72 is: 41,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,784.50 : 101,691.64 = 27,803.72 : x
  2. Step 2: Convert to fraction form
    67,784.50/101,691.64 = 27,803.72/x
  3. Step 3: Cross multiply
    67,784.50x = 101,691.64 × 27,803.72
  4. Step 4: Simplify right side
    67,784.50x = 2,827,405,884.90
  5. Step 5: Solve for x
    x = 2,827,405,884.90/67,784.50
  6. Step 6: Final answer
    x = 41,711.69

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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.