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Finding the Fourth Proportional to 100,991.70, 151,451.10 and 51,055.20

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Solution

The fourth proportional to 100,991.70, 151,451.10 and 51,055.20 is: 76,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,991.70 : 151,451.10 = 51,055.20 : x
  2. Step 2: Convert to fraction form
    100,991.70/151,451.10 = 51,055.20/x
  3. Step 3: Cross multiply
    100,991.70x = 151,451.10 × 51,055.20
  4. Step 4: Simplify right side
    100,991.70x = 7,732,366,200.72
  5. Step 5: Solve for x
    x = 7,732,366,200.72/100,991.70
  6. Step 6: Final answer
    x = 76,564.37

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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.