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Finding the Fourth Proportional to 67,005.84, 100,523.34 and 20,257.50

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Solution

The fourth proportional to 67,005.84, 100,523.34 and 20,257.50 is: 30,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,005.84 : 100,523.34 = 20,257.50 : x
  2. Step 2: Convert to fraction form
    67,005.84/100,523.34 = 20,257.50/x
  3. Step 3: Cross multiply
    67,005.84x = 100,523.34 × 20,257.50
  4. Step 4: Simplify right side
    67,005.84x = 2,036,351,560.05
  5. Step 5: Solve for x
    x = 2,036,351,560.05/67,005.84
  6. Step 6: Final answer
    x = 30,390.66

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1.5x scale

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.