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Finding the Fourth Proportional to 216,376.65, 298,613.79 and 120,883.86

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Solution

The fourth proportional to 216,376.65, 298,613.79 and 120,883.86 is: 166,827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,376.65 : 298,613.79 = 120,883.86 : x
  2. Step 2: Convert to fraction form
    216,376.65/298,613.79 = 120,883.86/x
  3. Step 3: Cross multiply
    216,376.65x = 298,613.79 × 120,883.86
  4. Step 4: Simplify right side
    216,376.65x = 36,097,587,584.43
  5. Step 5: Solve for x
    x = 36,097,587,584.43/216,376.65
  6. Step 6: Final answer
    x = 166,827.56

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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.