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Finding the Fourth Proportional to 198,555.45, 297,769.14 and 65,404.05

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Solution

The fourth proportional to 198,555.45, 297,769.14 and 65,404.05 is: 98,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,555.45 : 297,769.14 = 65,404.05 : x
  2. Step 2: Convert to fraction form
    198,555.45/297,769.14 = 65,404.05/x
  3. Step 3: Cross multiply
    198,555.45x = 297,769.14 × 65,404.05
  4. Step 4: Simplify right side
    198,555.45x = 19,475,307,721.02
  5. Step 5: Solve for x
    x = 19,475,307,721.02/198,555.45
  6. Step 6: Final answer
    x = 98,084.98

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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.