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Finding the Fourth Proportional to 216,696.42, 299,035.30 and 119,897.75

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Solution

The fourth proportional to 216,696.42, 299,035.30 and 119,897.75 is: 165,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,696.42 : 299,035.30 = 119,897.75 : x
  2. Step 2: Convert to fraction form
    216,696.42/299,035.30 = 119,897.75/x
  3. Step 3: Cross multiply
    216,696.42x = 299,035.30 × 119,897.75
  4. Step 4: Simplify right side
    216,696.42x = 35,853,659,010.27
  5. Step 5: Solve for x
    x = 35,853,659,010.27/216,696.42
  6. Step 6: Final answer
    x = 165,455.71

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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.