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Finding the Fourth Proportional to 253,876.67, 380,805.74 and 102,120.74

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Solution

The fourth proportional to 253,876.67, 380,805.74 and 102,120.74 is: 153,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,876.67 : 380,805.74 = 102,120.74 : x
  2. Step 2: Convert to fraction form
    253,876.67/380,805.74 = 102,120.74/x
  3. Step 3: Cross multiply
    253,876.67x = 380,805.74 × 102,120.74
  4. Step 4: Simplify right side
    253,876.67x = 38,888,161,550.42
  5. Step 5: Solve for x
    x = 38,888,161,550.42/253,876.67
  6. Step 6: Final answer
    x = 153,177.38

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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.