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Finding the Fourth Proportional to 189,780.69, 284,750.19 and 83,241.24

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Solution

The fourth proportional to 189,780.69, 284,750.19 and 83,241.24 is: 124,896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,780.69 : 284,750.19 = 83,241.24 : x
  2. Step 2: Convert to fraction form
    189,780.69/284,750.19 = 83,241.24/x
  3. Step 3: Cross multiply
    189,780.69x = 284,750.19 × 83,241.24
  4. Step 4: Simplify right side
    189,780.69x = 23,702,958,905.84
  5. Step 5: Solve for x
    x = 23,702,958,905.84/189,780.69
  6. Step 6: Final answer
    x = 124,896.58

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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.