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Finding the Fourth Proportional to 198,349.50, 297,523.64 and 71,989.58

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Solution

The fourth proportional to 198,349.50, 297,523.64 and 71,989.58 is: 107,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,349.50 : 297,523.64 = 71,989.58 : x
  2. Step 2: Convert to fraction form
    198,349.50/297,523.64 = 71,989.58/x
  3. Step 3: Cross multiply
    198,349.50x = 297,523.64 × 71,989.58
  4. Step 4: Simplify right side
    198,349.50x = 21,418,600,576.03
  5. Step 5: Solve for x
    x = 21,418,600,576.03/198,349.50
  6. Step 6: Final answer
    x = 107,984.14

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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.