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Finding the Fourth Proportional to 216,340.43, 298,522.96 and 120,865.13

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Solution

The fourth proportional to 216,340.43, 298,522.96 and 120,865.13 is: 166,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,340.43 : 298,522.96 = 120,865.13 : x
  2. Step 2: Convert to fraction form
    216,340.43/298,522.96 = 120,865.13/x
  3. Step 3: Cross multiply
    216,340.43x = 298,522.96 × 120,865.13
  4. Step 4: Simplify right side
    216,340.43x = 36,081,016,368.38
  5. Step 5: Solve for x
    x = 36,081,016,368.38/216,340.43
  6. Step 6: Final answer
    x = 166,778.89

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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.