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Finding the Fourth Proportional to 230,710.75, 346,119.94 and 78,909

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Solution

The fourth proportional to 230,710.75, 346,119.94 and 78,909 is: 118,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,710.75 : 346,119.94 = 78,909 : x
  2. Step 2: Convert to fraction form
    230,710.75/346,119.94 = 78,909/x
  3. Step 3: Cross multiply
    230,710.75x = 346,119.94 × 78,909
  4. Step 4: Simplify right side
    230,710.75x = 27,311,978,148.19
  5. Step 5: Solve for x
    x = 27,311,978,148.19/230,710.75
  6. Step 6: Final answer
    x = 118,381.91

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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.