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Finding the Fourth Proportional to 101,958.75, 152,970.63 and 42,778.53

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Solution

The fourth proportional to 101,958.75, 152,970.63 and 42,778.53 is: 64,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,958.75 : 152,970.63 = 42,778.53 : x
  2. Step 2: Convert to fraction form
    101,958.75/152,970.63 = 42,778.53/x
  3. Step 3: Cross multiply
    101,958.75x = 152,970.63 × 42,778.53
  4. Step 4: Simplify right side
    101,958.75x = 6,543,858,524.15
  5. Step 5: Solve for x
    x = 6,543,858,524.15/101,958.75
  6. Step 6: Final answer
    x = 64,181.43

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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.