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Finding the Fourth Proportional to 198,543.95, 297,852.83 and 65,433.56

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Solution

The fourth proportional to 198,543.95, 297,852.83 and 65,433.56 is: 98,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,543.95 : 297,852.83 = 65,433.56 : x
  2. Step 2: Convert to fraction form
    198,543.95/297,852.83 = 65,433.56/x
  3. Step 3: Cross multiply
    198,543.95x = 297,852.83 × 65,433.56
  4. Step 4: Simplify right side
    198,543.95x = 19,489,569,206.54
  5. Step 5: Solve for x
    x = 19,489,569,206.54/198,543.95
  6. Step 6: Final answer
    x = 98,162.50

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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.