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Finding the Fourth Proportional to 121,105.81, 181,658.71 and 67,767.95

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Solution

The fourth proportional to 121,105.81, 181,658.71 and 67,767.95 is: 101,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,105.81 : 181,658.71 = 67,767.95 : x
  2. Step 2: Convert to fraction form
    121,105.81/181,658.71 = 67,767.95/x
  3. Step 3: Cross multiply
    121,105.81x = 181,658.71 × 67,767.95
  4. Step 4: Simplify right side
    121,105.81x = 12,310,639,265.96
  5. Step 5: Solve for x
    x = 12,310,639,265.96/121,105.81
  6. Step 6: Final answer
    x = 101,651.93

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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.