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Finding the Fourth Proportional to 228,593.48, 342,912.77 and 78,814.05

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Solution

The fourth proportional to 228,593.48, 342,912.77 and 78,814.05 is: 118,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,593.48 : 342,912.77 = 78,814.05 : x
  2. Step 2: Convert to fraction form
    228,593.48/342,912.77 = 78,814.05/x
  3. Step 3: Cross multiply
    228,593.48x = 342,912.77 × 78,814.05
  4. Step 4: Simplify right side
    228,593.48x = 27,026,344,200.42
  5. Step 5: Solve for x
    x = 27,026,344,200.42/228,593.48
  6. Step 6: Final answer
    x = 118,228.85

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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.