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Finding the Fourth Proportional to 273,770.08, 410,721.09 and 86,781.58

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Solution

The fourth proportional to 273,770.08, 410,721.09 and 86,781.58 is: 130,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,770.08 : 410,721.09 = 86,781.58 : x
  2. Step 2: Convert to fraction form
    273,770.08/410,721.09 = 86,781.58/x
  3. Step 3: Cross multiply
    273,770.08x = 410,721.09 × 86,781.58
  4. Step 4: Simplify right side
    273,770.08x = 35,643,025,129.52
  5. Step 5: Solve for x
    x = 35,643,025,129.52/273,770.08
  6. Step 6: Final answer
    x = 130,193.28

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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.