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Finding the Fourth Proportional to 197,641.52, 296,249.64 and 85,374.56

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Solution

The fourth proportional to 197,641.52, 296,249.64 and 85,374.56 is: 127,969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,641.52 : 296,249.64 = 85,374.56 : x
  2. Step 2: Convert to fraction form
    197,641.52/296,249.64 = 85,374.56/x
  3. Step 3: Cross multiply
    197,641.52x = 296,249.64 × 85,374.56
  4. Step 4: Simplify right side
    197,641.52x = 25,292,182,665.16
  5. Step 5: Solve for x
    x = 25,292,182,665.16/197,641.52
  6. Step 6: Final answer
    x = 127,969.99

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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.