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Finding the Fourth Proportional to 145,440, 218,105.99 and 50,645.85

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Solution

The fourth proportional to 145,440, 218,105.99 and 50,645.85 is: 75,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,440 : 218,105.99 = 50,645.85 : x
  2. Step 2: Convert to fraction form
    145,440/218,105.99 = 50,645.85/x
  3. Step 3: Cross multiply
    145,440x = 218,105.99 × 50,645.85
  4. Step 4: Simplify right side
    145,440x = 11,046,163,380.26
  5. Step 5: Solve for x
    x = 11,046,163,380.26/145,440
  6. Step 6: Final answer
    x = 75,949.97

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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.