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Finding the Fourth Proportional to 198,005.49, 296,939.12 and 79,646.13

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Solution

The fourth proportional to 198,005.49, 296,939.12 and 79,646.13 is: 119,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,005.49 : 296,939.12 = 79,646.13 : x
  2. Step 2: Convert to fraction form
    198,005.49/296,939.12 = 79,646.13/x
  3. Step 3: Cross multiply
    198,005.49x = 296,939.12 × 79,646.13
  4. Step 4: Simplify right side
    198,005.49x = 23,650,051,355.38
  5. Step 5: Solve for x
    x = 23,650,051,355.38/198,005.49
  6. Step 6: Final answer
    x = 119,441.39

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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.