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Finding the Fourth Proportional to 198,441.13, 297,638.11 and 65,288.37

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Solution

The fourth proportional to 198,441.13, 297,638.11 and 65,288.37 is: 97,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,441.13 : 297,638.11 = 65,288.37 : x
  2. Step 2: Convert to fraction form
    198,441.13/297,638.11 = 65,288.37/x
  3. Step 3: Cross multiply
    198,441.13x = 297,638.11 × 65,288.37
  4. Step 4: Simplify right side
    198,441.13x = 19,432,307,051.78
  5. Step 5: Solve for x
    x = 19,432,307,051.78/198,441.13
  6. Step 6: Final answer
    x = 97,924.80

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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.