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Finding the Fourth Proportional to 76,908.30, 115,362.45 and 47,229.90

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Solution

The fourth proportional to 76,908.30, 115,362.45 and 47,229.90 is: 70,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,908.30 : 115,362.45 = 47,229.90 : x
  2. Step 2: Convert to fraction form
    76,908.30/115,362.45 = 47,229.90/x
  3. Step 3: Cross multiply
    76,908.30x = 115,362.45 × 47,229.90
  4. Step 4: Simplify right side
    76,908.30x = 5,448,556,977.26
  5. Step 5: Solve for x
    x = 5,448,556,977.26/76,908.30
  6. Step 6: Final answer
    x = 70,844.85

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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.