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Finding the Fourth Proportional to 72,809.32, 109,214.02 and 20,218.81

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Solution

The fourth proportional to 72,809.32, 109,214.02 and 20,218.81 is: 30,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,809.32 : 109,214.02 = 20,218.81 : x
  2. Step 2: Convert to fraction form
    72,809.32/109,214.02 = 20,218.81/x
  3. Step 3: Cross multiply
    72,809.32x = 109,214.02 × 20,218.81
  4. Step 4: Simplify right side
    72,809.32x = 2,208,176,973.65
  5. Step 5: Solve for x
    x = 2,208,176,973.65/72,809.32
  6. Step 6: Final answer
    x = 30,328.22

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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.