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Finding the Fourth Proportional to 73,133.63, 109,704.53 and 20,539

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Solution

The fourth proportional to 73,133.63, 109,704.53 and 20,539 is: 30,809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,133.63 : 109,704.53 = 20,539 : x
  2. Step 2: Convert to fraction form
    73,133.63/109,704.53 = 20,539/x
  3. Step 3: Cross multiply
    73,133.63x = 109,704.53 × 20,539
  4. Step 4: Simplify right side
    73,133.63x = 2,253,221,341.67
  5. Step 5: Solve for x
    x = 2,253,221,341.67/73,133.63
  6. Step 6: Final answer
    x = 30,809.65

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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.