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Finding the Fourth Proportional to 145,819.85, 201,231.41 and 78,751.85

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Solution

The fourth proportional to 145,819.85, 201,231.41 and 78,751.85 is: 108,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,819.85 : 201,231.41 = 78,751.85 : x
  2. Step 2: Convert to fraction form
    145,819.85/201,231.41 = 78,751.85/x
  3. Step 3: Cross multiply
    145,819.85x = 201,231.41 × 78,751.85
  4. Step 4: Simplify right side
    145,819.85x = 15,847,344,415.69
  5. Step 5: Solve for x
    x = 15,847,344,415.69/145,819.85
  6. Step 6: Final answer
    x = 108,677.56

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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.