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Finding the Fourth Proportional to 100,762, 151,149.24 and 30,646.48

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Solution

The fourth proportional to 100,762, 151,149.24 and 30,646.48 is: 45,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,762 : 151,149.24 = 30,646.48 : x
  2. Step 2: Convert to fraction form
    100,762/151,149.24 = 30,646.48/x
  3. Step 3: Cross multiply
    100,762x = 151,149.24 × 30,646.48
  4. Step 4: Simplify right side
    100,762x = 4,632,192,160.68
  5. Step 5: Solve for x
    x = 4,632,192,160.68/100,762
  6. Step 6: Final answer
    x = 45,971.62

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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.