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Finding the Fourth Proportional to 136,833.41, 205,315.10 and 94,778.21

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Solution

The fourth proportional to 136,833.41, 205,315.10 and 94,778.21 is: 142,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,833.41 : 205,315.10 = 94,778.21 : x
  2. Step 2: Convert to fraction form
    136,833.41/205,315.10 = 94,778.21/x
  3. Step 3: Cross multiply
    136,833.41x = 205,315.10 × 94,778.21
  4. Step 4: Simplify right side
    136,833.41x = 19,459,396,163.50
  5. Step 5: Solve for x
    x = 19,459,396,163.50/136,833.41
  6. Step 6: Final answer
    x = 142,212.32

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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.