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Finding the Fourth Proportional to 100,458.96, 150,688.44 and 38,129.46

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Solution

The fourth proportional to 100,458.96, 150,688.44 and 38,129.46 is: 57,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,458.96 : 150,688.44 = 38,129.46 : x
  2. Step 2: Convert to fraction form
    100,458.96/150,688.44 = 38,129.46/x
  3. Step 3: Cross multiply
    100,458.96x = 150,688.44 × 38,129.46
  4. Step 4: Simplify right side
    100,458.96x = 5,745,668,845.44
  5. Step 5: Solve for x
    x = 5,745,668,845.44/100,458.96
  6. Step 6: Final answer
    x = 57,194.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.