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Finding the Fourth Proportional to 145,107, 200,260.24 and 80,588.68

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Solution

The fourth proportional to 145,107, 200,260.24 and 80,588.68 is: 111,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,107 : 200,260.24 = 80,588.68 : x
  2. Step 2: Convert to fraction form
    145,107/200,260.24 = 80,588.68/x
  3. Step 3: Cross multiply
    145,107x = 200,260.24 × 80,588.68
  4. Step 4: Simplify right side
    145,107x = 16,138,707,695.96
  5. Step 5: Solve for x
    x = 16,138,707,695.96/145,107
  6. Step 6: Final answer
    x = 111,219.36

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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.