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Finding the Fourth Proportional to 198,603.66, 297,875.25 and 65,478.54

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Solution

The fourth proportional to 198,603.66, 297,875.25 and 65,478.54 is: 98,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,603.66 : 297,875.25 = 65,478.54 : x
  2. Step 2: Convert to fraction form
    198,603.66/297,875.25 = 65,478.54/x
  3. Step 3: Cross multiply
    198,603.66x = 297,875.25 × 65,478.54
  4. Step 4: Simplify right side
    198,603.66x = 19,504,436,472.14
  5. Step 5: Solve for x
    x = 19,504,436,472.14/198,603.66
  6. Step 6: Final answer
    x = 98,207.84

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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.