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Finding the Fourth Proportional to 101,220.30, 151,923.02 and 51,334.83

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Solution

The fourth proportional to 101,220.30, 151,923.02 and 51,334.83 is: 77,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,220.30 : 151,923.02 = 51,334.83 : x
  2. Step 2: Convert to fraction form
    101,220.30/151,923.02 = 51,334.83/x
  3. Step 3: Cross multiply
    101,220.30x = 151,923.02 × 51,334.83
  4. Step 4: Simplify right side
    101,220.30x = 7,798,942,148.11
  5. Step 5: Solve for x
    x = 7,798,942,148.11/101,220.30
  6. Step 6: Final answer
    x = 77,049.19

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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.