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Finding the Fourth Proportional to 100,982.48, 151,473.72 and 30,861.20

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Solution

The fourth proportional to 100,982.48, 151,473.72 and 30,861.20 is: 46,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,982.48 : 151,473.72 = 30,861.20 : x
  2. Step 2: Convert to fraction form
    100,982.48/151,473.72 = 30,861.20/x
  3. Step 3: Cross multiply
    100,982.48x = 151,473.72 × 30,861.20
  4. Step 4: Simplify right side
    100,982.48x = 4,674,660,767.66
  5. Step 5: Solve for x
    x = 4,674,660,767.66/100,982.48
  6. Step 6: Final answer
    x = 46,291.80

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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.