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Finding the Fourth Proportional to 198,605.26, 297,927.33 and 65,431.18

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Solution

The fourth proportional to 198,605.26, 297,927.33 and 65,431.18 is: 98,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,605.26 : 297,927.33 = 65,431.18 : x
  2. Step 2: Convert to fraction form
    198,605.26/297,927.33 = 65,431.18/x
  3. Step 3: Cross multiply
    198,605.26x = 297,927.33 × 65,431.18
  4. Step 4: Simplify right side
    198,605.26x = 19,493,736,756.15
  5. Step 5: Solve for x
    x = 19,493,736,756.15/198,605.26
  6. Step 6: Final answer
    x = 98,153.17

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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.