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Finding the Fourth Proportional to 263,939.60, 395,909.40 and 106,281.20

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Solution

The fourth proportional to 263,939.60, 395,909.40 and 106,281.20 is: 159,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,939.60 : 395,909.40 = 106,281.20 : x
  2. Step 2: Convert to fraction form
    263,939.60/395,909.40 = 106,281.20/x
  3. Step 3: Cross multiply
    263,939.60x = 395,909.40 × 106,281.20
  4. Step 4: Simplify right side
    263,939.60x = 42,077,726,123.28
  5. Step 5: Solve for x
    x = 42,077,726,123.28/263,939.60
  6. Step 6: Final answer
    x = 159,421.80

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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.