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Finding the Fourth Proportional to 235,764.40, 352,840.20 and 142,337.20

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Solution

The fourth proportional to 235,764.40, 352,840.20 and 142,337.20 is: 213,018.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,764.40 : 352,840.20 = 142,337.20 : x
  2. Step 2: Convert to fraction form
    235,764.40/352,840.20 = 142,337.20/x
  3. Step 3: Cross multiply
    235,764.40x = 352,840.20 × 142,337.20
  4. Step 4: Simplify right side
    235,764.40x = 50,222,286,115.44
  5. Step 5: Solve for x
    x = 50,222,286,115.44/235,764.40
  6. Step 6: Final answer
    x = 213,018.96

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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.