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Finding the Fourth Proportional to 263,670.30, 395,359.65 and 86,085.90

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Solution

The fourth proportional to 263,670.30, 395,359.65 and 86,085.90 is: 129,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,670.30 : 395,359.65 = 86,085.90 : x
  2. Step 2: Convert to fraction form
    263,670.30/395,359.65 = 86,085.90/x
  3. Step 3: Cross multiply
    263,670.30x = 395,359.65 × 86,085.90
  4. Step 4: Simplify right side
    263,670.30x = 34,034,891,293.94
  5. Step 5: Solve for x
    x = 34,034,891,293.94/263,670.30
  6. Step 6: Final answer
    x = 129,081.25

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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.