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Finding the Fourth Proportional to 73,129.86, 109,694.79 and 25,780.10

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Solution

The fourth proportional to 73,129.86, 109,694.79 and 25,780.10 is: 38,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,129.86 : 109,694.79 = 25,780.10 : x
  2. Step 2: Convert to fraction form
    73,129.86/109,694.79 = 25,780.10/x
  3. Step 3: Cross multiply
    73,129.86x = 109,694.79 × 25,780.10
  4. Step 4: Simplify right side
    73,129.86x = 2,827,942,107.21
  5. Step 5: Solve for x
    x = 2,827,942,107.21/73,129.86
  6. Step 6: Final answer
    x = 38,670.14

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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.