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Finding the Fourth Proportional to 198,646.86, 274,138.04 and 108,008.91

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Solution

The fourth proportional to 198,646.86, 274,138.04 and 108,008.91 is: 149,055.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,646.86 : 274,138.04 = 108,008.91 : x
  2. Step 2: Convert to fraction form
    198,646.86/274,138.04 = 108,008.91/x
  3. Step 3: Cross multiply
    198,646.86x = 274,138.04 × 108,008.91
  4. Step 4: Simplify right side
    198,646.86x = 29,609,351,159.96
  5. Step 5: Solve for x
    x = 29,609,351,159.96/198,646.86
  6. Step 6: Final answer
    x = 149,055.22

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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.