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Finding the Fourth Proportional to 198,213.38, 273,536.47 and 107,570.13

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Solution

The fourth proportional to 198,213.38, 273,536.47 and 107,570.13 is: 148,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,213.38 : 273,536.47 = 107,570.13 : x
  2. Step 2: Convert to fraction form
    198,213.38/273,536.47 = 107,570.13/x
  3. Step 3: Cross multiply
    198,213.38x = 273,536.47 × 107,570.13
  4. Step 4: Simplify right side
    198,213.38x = 29,424,353,637.64
  5. Step 5: Solve for x
    x = 29,424,353,637.64/198,213.38
  6. Step 6: Final answer
    x = 148,447.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.