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Finding the Fourth Proportional to 198,798.74, 274,342.92 and 108,154.69

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Solution

The fourth proportional to 198,798.74, 274,342.92 and 108,154.69 is: 149,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,798.74 : 274,342.92 = 108,154.69 : x
  2. Step 2: Convert to fraction form
    198,798.74/274,342.92 = 108,154.69/x
  3. Step 3: Cross multiply
    198,798.74x = 274,342.92 × 108,154.69
  4. Step 4: Simplify right side
    198,798.74x = 29,671,473,466.29
  5. Step 5: Solve for x
    x = 29,671,473,466.29/198,798.74
  6. Step 6: Final answer
    x = 149,253.83

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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.