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Finding the Fourth Proportional to 107,600, 161,633.52 and 90,993.36

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Solution

The fourth proportional to 107,600, 161,633.52 and 90,993.36 is: 136,687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,600 : 161,633.52 = 90,993.36 : x
  2. Step 2: Convert to fraction form
    107,600/161,633.52 = 90,993.36/x
  3. Step 3: Cross multiply
    107,600x = 161,633.52 × 90,993.36
  4. Step 4: Simplify right side
    107,600x = 14,707,577,073.43
  5. Step 5: Solve for x
    x = 14,707,577,073.43/107,600
  6. Step 6: Final answer
    x = 136,687.52

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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.