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Finding the Fourth Proportional to 67,872.10, 101,783.76 and 23,486.80

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Solution

The fourth proportional to 67,872.10, 101,783.76 and 23,486.80 is: 35,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,872.10 : 101,783.76 = 23,486.80 : x
  2. Step 2: Convert to fraction form
    67,872.10/101,783.76 = 23,486.80/x
  3. Step 3: Cross multiply
    67,872.10x = 101,783.76 × 23,486.80
  4. Step 4: Simplify right side
    67,872.10x = 2,390,574,814.37
  5. Step 5: Solve for x
    x = 2,390,574,814.37/67,872.10
  6. Step 6: Final answer
    x = 35,221.76

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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.