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Finding the Fourth Proportional to 76,942.80, 115,429.80 and 43,678.80

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Solution

The fourth proportional to 76,942.80, 115,429.80 and 43,678.80 is: 65,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,942.80 : 115,429.80 = 43,678.80 : x
  2. Step 2: Convert to fraction form
    76,942.80/115,429.80 = 43,678.80/x
  3. Step 3: Cross multiply
    76,942.80x = 115,429.80 × 43,678.80
  4. Step 4: Simplify right side
    76,942.80x = 5,041,835,148.24
  5. Step 5: Solve for x
    x = 5,041,835,148.24/76,942.80
  6. Step 6: Final answer
    x = 65,527.06

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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.