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Finding the Fourth Proportional to 216,651, 298,975.86 and 121,156.80

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Solution

The fourth proportional to 216,651, 298,975.86 and 121,156.80 is: 167,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,651 : 298,975.86 = 121,156.80 : x
  2. Step 2: Convert to fraction form
    216,651/298,975.86 = 121,156.80/x
  3. Step 3: Cross multiply
    216,651x = 298,975.86 × 121,156.80
  4. Step 4: Simplify right side
    216,651x = 36,222,958,474.85
  5. Step 5: Solve for x
    x = 36,222,958,474.85/216,651
  6. Step 6: Final answer
    x = 167,194.97

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1.5x scale

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.