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Finding the Fourth Proportional to 67,874.16, 101,811.24 and 21,131.76

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Solution

The fourth proportional to 67,874.16, 101,811.24 and 21,131.76 is: 31,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,874.16 : 101,811.24 = 21,131.76 : x
  2. Step 2: Convert to fraction form
    67,874.16/101,811.24 = 21,131.76/x
  3. Step 3: Cross multiply
    67,874.16x = 101,811.24 × 21,131.76
  4. Step 4: Simplify right side
    67,874.16x = 2,151,450,688.98
  5. Step 5: Solve for x
    x = 2,151,450,688.98/67,874.16
  6. Step 6: Final answer
    x = 31,697.64

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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.