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Finding the Fourth Proportional to 140,469.32, 210,698.36 and 77,414.44

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Solution

The fourth proportional to 140,469.32, 210,698.36 and 77,414.44 is: 116,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,469.32 : 210,698.36 = 77,414.44 : x
  2. Step 2: Convert to fraction form
    140,469.32/210,698.36 = 77,414.44/x
  3. Step 3: Cross multiply
    140,469.32x = 210,698.36 × 77,414.44
  4. Step 4: Simplify right side
    140,469.32x = 16,311,095,548.32
  5. Step 5: Solve for x
    x = 16,311,095,548.32/140,469.32
  6. Step 6: Final answer
    x = 116,118.56

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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.