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Finding the Fourth Proportional to 198,037.88, 297,118.10 and 64,919.16

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Solution

The fourth proportional to 198,037.88, 297,118.10 and 64,919.16 is: 97,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,037.88 : 297,118.10 = 64,919.16 : x
  2. Step 2: Convert to fraction form
    198,037.88/297,118.10 = 64,919.16/x
  3. Step 3: Cross multiply
    198,037.88x = 297,118.10 × 64,919.16
  4. Step 4: Simplify right side
    198,037.88x = 19,288,657,472.80
  5. Step 5: Solve for x
    x = 19,288,657,472.80/198,037.88
  6. Step 6: Final answer
    x = 97,398.83

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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.