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Finding the Fourth Proportional to 73,059, 109,590.32 and 20,472.58

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Solution

The fourth proportional to 73,059, 109,590.32 and 20,472.58 is: 30,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,059 : 109,590.32 = 20,472.58 : x
  2. Step 2: Convert to fraction form
    73,059/109,590.32 = 20,472.58/x
  3. Step 3: Cross multiply
    73,059x = 109,590.32 × 20,472.58
  4. Step 4: Simplify right side
    73,059x = 2,243,596,593.43
  5. Step 5: Solve for x
    x = 2,243,596,593.43/73,059
  6. Step 6: Final answer
    x = 30,709.38

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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.