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Finding the Fourth Proportional to 79,686.48, 119,505.96 and 27,084

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Solution

The fourth proportional to 79,686.48, 119,505.96 and 27,084 is: 40,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,686.48 : 119,505.96 = 27,084 : x
  2. Step 2: Convert to fraction form
    79,686.48/119,505.96 = 27,084/x
  3. Step 3: Cross multiply
    79,686.48x = 119,505.96 × 27,084
  4. Step 4: Simplify right side
    79,686.48x = 3,236,699,420.64
  5. Step 5: Solve for x
    x = 3,236,699,420.64/79,686.48
  6. Step 6: Final answer
    x = 40,617.92

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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.