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Finding the Fourth Proportional to 253,789.86, 380,732.85 and 101,998.74

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Solution

The fourth proportional to 253,789.86, 380,732.85 and 101,998.74 is: 153,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,789.86 : 380,732.85 = 101,998.74 : x
  2. Step 2: Convert to fraction form
    253,789.86/380,732.85 = 101,998.74/x
  3. Step 3: Cross multiply
    253,789.86x = 380,732.85 × 101,998.74
  4. Step 4: Simplify right side
    253,789.86x = 38,834,269,072.94
  5. Step 5: Solve for x
    x = 38,834,269,072.94/253,789.86
  6. Step 6: Final answer
    x = 153,017.42

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1.5x scale

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.