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Finding the Fourth Proportional to 68,342.70, 102,542.85 and 37,200.30

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Solution

The fourth proportional to 68,342.70, 102,542.85 and 37,200.30 is: 55,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,342.70 : 102,542.85 = 37,200.30 : x
  2. Step 2: Convert to fraction form
    68,342.70/102,542.85 = 37,200.30/x
  3. Step 3: Cross multiply
    68,342.70x = 102,542.85 × 37,200.30
  4. Step 4: Simplify right side
    68,342.70x = 3,814,624,782.86
  5. Step 5: Solve for x
    x = 3,814,624,782.86/68,342.70
  6. Step 6: Final answer
    x = 55,816.13

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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.