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Finding the Fourth Proportional to 67,178.96, 100,630.16 and 39,410

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Solution

The fourth proportional to 67,178.96, 100,630.16 and 39,410 is: 59,033.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,178.96 : 100,630.16 = 39,410 : x
  2. Step 2: Convert to fraction form
    67,178.96/100,630.16 = 39,410/x
  3. Step 3: Cross multiply
    67,178.96x = 100,630.16 × 39,410
  4. Step 4: Simplify right side
    67,178.96x = 3,965,834,605.60
  5. Step 5: Solve for x
    x = 3,965,834,605.60/67,178.96
  6. Step 6: Final answer
    x = 59,033.88

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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.