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Finding the Fourth Proportional to 265,089.81, 397,671.63 and 85,180.61

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Solution

The fourth proportional to 265,089.81, 397,671.63 and 85,180.61 is: 127,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,089.81 : 397,671.63 = 85,180.61 : x
  2. Step 2: Convert to fraction form
    265,089.81/397,671.63 = 85,180.61/x
  3. Step 3: Cross multiply
    265,089.81x = 397,671.63 × 85,180.61
  4. Step 4: Simplify right side
    265,089.81x = 33,873,912,697.85
  5. Step 5: Solve for x
    x = 33,873,912,697.85/265,089.81
  6. Step 6: Final answer
    x = 127,782.78

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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.