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Finding the Fourth Proportional to 198,720.40, 297,978.20 and 73,997.20

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Solution

The fourth proportional to 198,720.40, 297,978.20 and 73,997.20 is: 110,957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,720.40 : 297,978.20 = 73,997.20 : x
  2. Step 2: Convert to fraction form
    198,720.40/297,978.20 = 73,997.20/x
  3. Step 3: Cross multiply
    198,720.40x = 297,978.20 × 73,997.20
  4. Step 4: Simplify right side
    198,720.40x = 22,049,552,461.04
  5. Step 5: Solve for x
    x = 22,049,552,461.04/198,720.40
  6. Step 6: Final answer
    x = 110,957.67

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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.