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Finding the Fourth Proportional to 128,493.59, 192,629.52 and 61,842.02

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Solution

The fourth proportional to 128,493.59, 192,629.52 and 61,842.02 is: 92,709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,493.59 : 192,629.52 = 61,842.02 : x
  2. Step 2: Convert to fraction form
    128,493.59/192,629.52 = 61,842.02/x
  3. Step 3: Cross multiply
    128,493.59x = 192,629.52 × 61,842.02
  4. Step 4: Simplify right side
    128,493.59x = 11,912,597,665.28
  5. Step 5: Solve for x
    x = 11,912,597,665.28/128,493.59
  6. Step 6: Final answer
    x = 92,709.67

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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.