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Finding the Fourth Proportional to 100,954.20, 151,301.70 and 77,464.20

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Solution

The fourth proportional to 100,954.20, 151,301.70 and 77,464.20 is: 116,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,954.20 : 151,301.70 = 77,464.20 : x
  2. Step 2: Convert to fraction form
    100,954.20/151,301.70 = 77,464.20/x
  3. Step 3: Cross multiply
    100,954.20x = 151,301.70 × 77,464.20
  4. Step 4: Simplify right side
    100,954.20x = 11,720,465,149.14
  5. Step 5: Solve for x
    x = 11,720,465,149.14/100,954.20
  6. Step 6: Final answer
    x = 116,096.86

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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.