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Finding the Fourth Proportional to 142,593.69, 213,816.71 and 76,015.94

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Solution

The fourth proportional to 142,593.69, 213,816.71 and 76,015.94 is: 113,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,593.69 : 213,816.71 = 76,015.94 : x
  2. Step 2: Convert to fraction form
    142,593.69/213,816.71 = 76,015.94/x
  3. Step 3: Cross multiply
    142,593.69x = 213,816.71 × 76,015.94
  4. Step 4: Simplify right side
    142,593.69x = 16,253,476,749.19
  5. Step 5: Solve for x
    x = 16,253,476,749.19/142,593.69
  6. Step 6: Final answer
    x = 113,984.54

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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.