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Finding the Fourth Proportional to 67,059.88, 100,617.36 and 31,977.16

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Solution

The fourth proportional to 67,059.88, 100,617.36 and 31,977.16 is: 47,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,059.88 : 100,617.36 = 31,977.16 : x
  2. Step 2: Convert to fraction form
    67,059.88/100,617.36 = 31,977.16/x
  3. Step 3: Cross multiply
    67,059.88x = 100,617.36 × 31,977.16
  4. Step 4: Simplify right side
    67,059.88x = 3,217,457,419.50
  5. Step 5: Solve for x
    x = 3,217,457,419.50/67,059.88
  6. Step 6: Final answer
    x = 47,978.87

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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.