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Finding the Fourth Proportional to 198,172.88, 297,258.26 and 48,414

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Solution

The fourth proportional to 198,172.88, 297,258.26 and 48,414 is: 72,620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,172.88 : 297,258.26 = 48,414 : x
  2. Step 2: Convert to fraction form
    198,172.88/297,258.26 = 48,414/x
  3. Step 3: Cross multiply
    198,172.88x = 297,258.26 × 48,414
  4. Step 4: Simplify right side
    198,172.88x = 14,391,461,399.64
  5. Step 5: Solve for x
    x = 14,391,461,399.64/198,172.88
  6. Step 6: Final answer
    x = 72,620.74

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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.