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Finding the Fourth Proportional to 145,776.21, 218,695 and 82,626.59

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Solution

The fourth proportional to 145,776.21, 218,695 and 82,626.59 is: 123,957.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,776.21 : 218,695 = 82,626.59 : x
  2. Step 2: Convert to fraction form
    145,776.21/218,695 = 82,626.59/x
  3. Step 3: Cross multiply
    145,776.21x = 218,695 × 82,626.59
  4. Step 4: Simplify right side
    145,776.21x = 18,070,022,100.05
  5. Step 5: Solve for x
    x = 18,070,022,100.05/145,776.21
  6. Step 6: Final answer
    x = 123,957.28

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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.