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Finding the Fourth Proportional to 189,958.86, 284,750.37 and 89,943.30

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Solution

The fourth proportional to 189,958.86, 284,750.37 and 89,943.30 is: 134,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,958.86 : 284,750.37 = 89,943.30 : x
  2. Step 2: Convert to fraction form
    189,958.86/284,750.37 = 89,943.30/x
  3. Step 3: Cross multiply
    189,958.86x = 284,750.37 × 89,943.30
  4. Step 4: Simplify right side
    189,958.86x = 25,611,387,954.02
  5. Step 5: Solve for x
    x = 25,611,387,954.02/189,958.86
  6. Step 6: Final answer
    x = 134,825.97

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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.