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Finding the Fourth Proportional to 101,216.50, 151,721.07 and 42,086.50

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Solution

The fourth proportional to 101,216.50, 151,721.07 and 42,086.50 is: 63,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,216.50 : 151,721.07 = 42,086.50 : x
  2. Step 2: Convert to fraction form
    101,216.50/151,721.07 = 42,086.50/x
  3. Step 3: Cross multiply
    101,216.50x = 151,721.07 × 42,086.50
  4. Step 4: Simplify right side
    101,216.50x = 6,385,408,812.56
  5. Step 5: Solve for x
    x = 6,385,408,812.56/101,216.50
  6. Step 6: Final answer
    x = 63,086.64

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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.