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Finding the Fourth Proportional to 67,202.96, 100,666.16 and 39,434

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Solution

The fourth proportional to 67,202.96, 100,666.16 and 39,434 is: 59,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,202.96 : 100,666.16 = 39,434 : x
  2. Step 2: Convert to fraction form
    67,202.96/100,666.16 = 39,434/x
  3. Step 3: Cross multiply
    67,202.96x = 100,666.16 × 39,434
  4. Step 4: Simplify right side
    67,202.96x = 3,969,669,353.44
  5. Step 5: Solve for x
    x = 3,969,669,353.44/67,202.96
  6. Step 6: Final answer
    x = 59,069.86

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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.