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Finding the Fourth Proportional to 198,753.89, 298,101.60 and 65,638.49

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Solution

The fourth proportional to 198,753.89, 298,101.60 and 65,638.49 is: 98,448.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,753.89 : 298,101.60 = 65,638.49 : x
  2. Step 2: Convert to fraction form
    198,753.89/298,101.60 = 65,638.49/x
  3. Step 3: Cross multiply
    198,753.89x = 298,101.60 × 65,638.49
  4. Step 4: Simplify right side
    198,753.89x = 19,566,937,400.08
  5. Step 5: Solve for x
    x = 19,566,937,400.08/198,753.89
  6. Step 6: Final answer
    x = 98,448.08

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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.