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Finding the Fourth Proportional to 101,171.70, 151,721.10 and 51,235.20

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Solution

The fourth proportional to 101,171.70, 151,721.10 and 51,235.20 is: 76,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,171.70 : 151,721.10 = 51,235.20 : x
  2. Step 2: Convert to fraction form
    101,171.70/151,721.10 = 51,235.20/x
  3. Step 3: Cross multiply
    101,171.70x = 151,721.10 × 51,235.20
  4. Step 4: Simplify right side
    101,171.70x = 7,773,460,902.72
  5. Step 5: Solve for x
    x = 7,773,460,902.72/101,171.70
  6. Step 6: Final answer
    x = 76,834.34

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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.