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Finding the Fourth Proportional to 67,861.78, 101,825.78 and 47,998.89

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Solution

The fourth proportional to 67,861.78, 101,825.78 and 47,998.89 is: 72,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,861.78 : 101,825.78 = 47,998.89 : x
  2. Step 2: Convert to fraction form
    67,861.78/101,825.78 = 47,998.89/x
  3. Step 3: Cross multiply
    67,861.78x = 101,825.78 × 47,998.89
  4. Step 4: Simplify right side
    67,861.78x = 4,887,524,278.82
  5. Step 5: Solve for x
    x = 4,887,524,278.82/67,861.78
  6. Step 6: Final answer
    x = 72,021.76

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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.