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Finding the Fourth Proportional to 78,380.99, 108,165.68 and 42,571.03

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Solution

The fourth proportional to 78,380.99, 108,165.68 and 42,571.03 is: 58,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,380.99 : 108,165.68 = 42,571.03 : x
  2. Step 2: Convert to fraction form
    78,380.99/108,165.68 = 42,571.03/x
  3. Step 3: Cross multiply
    78,380.99x = 108,165.68 × 42,571.03
  4. Step 4: Simplify right side
    78,380.99x = 4,604,724,244.26
  5. Step 5: Solve for x
    x = 4,604,724,244.26/78,380.99
  6. Step 6: Final answer
    x = 58,747.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.