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Finding the Fourth Proportional to 263,935.86, 395,959.80 and 86,429.76

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Solution

The fourth proportional to 263,935.86, 395,959.80 and 86,429.76 is: 129,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,935.86 : 395,959.80 = 86,429.76 : x
  2. Step 2: Convert to fraction form
    263,935.86/395,959.80 = 86,429.76/x
  3. Step 3: Cross multiply
    263,935.86x = 395,959.80 × 86,429.76
  4. Step 4: Simplify right side
    263,935.86x = 34,222,710,483.65
  5. Step 5: Solve for x
    x = 34,222,710,483.65/263,935.86
  6. Step 6: Final answer
    x = 129,662.98

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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.