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Finding the Fourth Proportional to 73,114.20, 109,678.23 and 20,523.51

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Solution

The fourth proportional to 73,114.20, 109,678.23 and 20,523.51 is: 30,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,114.20 : 109,678.23 = 20,523.51 : x
  2. Step 2: Convert to fraction form
    73,114.20/109,678.23 = 20,523.51/x
  3. Step 3: Cross multiply
    73,114.20x = 109,678.23 × 20,523.51
  4. Step 4: Simplify right side
    73,114.20x = 2,250,982,250.19
  5. Step 5: Solve for x
    x = 2,250,982,250.19/73,114.20
  6. Step 6: Final answer
    x = 30,787.21

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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.