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Finding the Fourth Proportional to 79,970.96, 119,935.52 and 23,796

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Solution

The fourth proportional to 79,970.96, 119,935.52 and 23,796 is: 35,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,970.96 : 119,935.52 = 23,796 : x
  2. Step 2: Convert to fraction form
    79,970.96/119,935.52 = 23,796/x
  3. Step 3: Cross multiply
    79,970.96x = 119,935.52 × 23,796
  4. Step 4: Simplify right side
    79,970.96x = 2,853,985,633.92
  5. Step 5: Solve for x
    x = 2,853,985,633.92/79,970.96
  6. Step 6: Final answer
    x = 35,687.78

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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.