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Finding the Fourth Proportional to 216,362.28, 324,570.72 and 74,169

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Solution

The fourth proportional to 216,362.28, 324,570.72 and 74,169 is: 111,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,362.28 : 324,570.72 = 74,169 : x
  2. Step 2: Convert to fraction form
    216,362.28/324,570.72 = 74,169/x
  3. Step 3: Cross multiply
    216,362.28x = 324,570.72 × 74,169
  4. Step 4: Simplify right side
    216,362.28x = 24,073,085,731.68
  5. Step 5: Solve for x
    x = 24,073,085,731.68/216,362.28
  6. Step 6: Final answer
    x = 111,262.86

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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.