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Finding the Fourth Proportional to 198,351.78, 297,572.58 and 65,233.20

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Solution

The fourth proportional to 198,351.78, 297,572.58 and 65,233.20 is: 97,864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,351.78 : 297,572.58 = 65,233.20 : x
  2. Step 2: Convert to fraction form
    198,351.78/297,572.58 = 65,233.20/x
  3. Step 3: Cross multiply
    198,351.78x = 297,572.58 × 65,233.20
  4. Step 4: Simplify right side
    198,351.78x = 19,411,611,625.66
  5. Step 5: Solve for x
    x = 19,411,611,625.66/198,351.78
  6. Step 6: Final answer
    x = 97,864.57

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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.