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Finding the Fourth Proportional to 189,937.74, 284,948.73 and 71,610.11

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Solution

The fourth proportional to 189,937.74, 284,948.73 and 71,610.11 is: 107,431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,937.74 : 284,948.73 = 71,610.11 : x
  2. Step 2: Convert to fraction form
    189,937.74/284,948.73 = 71,610.11/x
  3. Step 3: Cross multiply
    189,937.74x = 284,948.73 × 71,610.11
  4. Step 4: Simplify right side
    189,937.74x = 20,405,208,474.92
  5. Step 5: Solve for x
    x = 20,405,208,474.92/189,937.74
  6. Step 6: Final answer
    x = 107,431.04

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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.