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Finding the Fourth Proportional to 145,736.70, 218,605.05 and 52,251.90

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Solution

The fourth proportional to 145,736.70, 218,605.05 and 52,251.90 is: 78,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,736.70 : 218,605.05 = 52,251.90 : x
  2. Step 2: Convert to fraction form
    145,736.70/218,605.05 = 52,251.90/x
  3. Step 3: Cross multiply
    145,736.70x = 218,605.05 × 52,251.90
  4. Step 4: Simplify right side
    145,736.70x = 11,422,529,212.10
  5. Step 5: Solve for x
    x = 11,422,529,212.10/145,736.70
  6. Step 6: Final answer
    x = 78,377.85

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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.