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Finding the Fourth Proportional to 101,428.42, 152,230.11 and 39,142.66

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Solution

The fourth proportional to 101,428.42, 152,230.11 and 39,142.66 is: 58,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,428.42 : 152,230.11 = 39,142.66 : x
  2. Step 2: Convert to fraction form
    101,428.42/152,230.11 = 39,142.66/x
  3. Step 3: Cross multiply
    101,428.42x = 152,230.11 × 39,142.66
  4. Step 4: Simplify right side
    101,428.42x = 5,958,691,437.49
  5. Step 5: Solve for x
    x = 5,958,691,437.49/101,428.42
  6. Step 6: Final answer
    x = 58,747.75

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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.