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Finding the Fourth Proportional to 235,138.08, 352,758.24 and 77,358.72

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Solution

The fourth proportional to 235,138.08, 352,758.24 and 77,358.72 is: 116,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,138.08 : 352,758.24 = 77,358.72 : x
  2. Step 2: Convert to fraction form
    235,138.08/352,758.24 = 77,358.72/x
  3. Step 3: Cross multiply
    235,138.08x = 352,758.24 × 77,358.72
  4. Step 4: Simplify right side
    235,138.08x = 27,288,925,915.85
  5. Step 5: Solve for x
    x = 27,288,925,915.85/235,138.08
  6. Step 6: Final answer
    x = 116,054.90

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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.