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Finding the Fourth Proportional to 72,879.81, 109,298.58 and 30,769.26

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Solution

The fourth proportional to 72,879.81, 109,298.58 and 30,769.26 is: 46,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,879.81 : 109,298.58 = 30,769.26 : x
  2. Step 2: Convert to fraction form
    72,879.81/109,298.58 = 30,769.26/x
  3. Step 3: Cross multiply
    72,879.81x = 109,298.58 × 30,769.26
  4. Step 4: Simplify right side
    72,879.81x = 3,363,036,425.65
  5. Step 5: Solve for x
    x = 3,363,036,425.65/72,879.81
  6. Step 6: Final answer
    x = 46,144.97

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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.