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Finding the Fourth Proportional to 100,141.92, 138,174.66 and 57,684.96

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Solution

The fourth proportional to 100,141.92, 138,174.66 and 57,684.96 is: 79,593.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,141.92 : 138,174.66 = 57,684.96 : x
  2. Step 2: Convert to fraction form
    100,141.92/138,174.66 = 57,684.96/x
  3. Step 3: Cross multiply
    100,141.92x = 138,174.66 × 57,684.96
  4. Step 4: Simplify right side
    100,141.92x = 7,970,599,735.11
  5. Step 5: Solve for x
    x = 7,970,599,735.11/100,141.92
  6. Step 6: Final answer
    x = 79,593.04

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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.