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Finding the Fourth Proportional to 198,153.10, 297,219.21 and 65,015.83

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Solution

The fourth proportional to 198,153.10, 297,219.21 and 65,015.83 is: 97,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,153.10 : 297,219.21 = 65,015.83 : x
  2. Step 2: Convert to fraction form
    198,153.10/297,219.21 = 65,015.83/x
  3. Step 3: Cross multiply
    198,153.10x = 297,219.21 × 65,015.83
  4. Step 4: Simplify right side
    198,153.10x = 19,323,953,630.09
  5. Step 5: Solve for x
    x = 19,323,953,630.09/198,153.10
  6. Step 6: Final answer
    x = 97,520.32

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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.