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Finding the Fourth Proportional to 100,775.34, 151,157.61 and 30,649.19

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Solution

The fourth proportional to 100,775.34, 151,157.61 and 30,649.19 is: 45,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,775.34 : 151,157.61 = 30,649.19 : x
  2. Step 2: Convert to fraction form
    100,775.34/151,157.61 = 30,649.19/x
  3. Step 3: Cross multiply
    100,775.34x = 151,157.61 × 30,649.19
  4. Step 4: Simplify right side
    100,775.34x = 4,632,857,553.05
  5. Step 5: Solve for x
    x = 4,632,857,553.05/100,775.34
  6. Step 6: Final answer
    x = 45,972.14

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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.