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Finding the Fourth Proportional to 140,546.62, 210,726.51 and 77,396.48

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Solution

The fourth proportional to 140,546.62, 210,726.51 and 77,396.48 is: 116,043.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,546.62 : 210,726.51 = 77,396.48 : x
  2. Step 2: Convert to fraction form
    140,546.62/210,726.51 = 77,396.48/x
  3. Step 3: Cross multiply
    140,546.62x = 210,726.51 × 77,396.48
  4. Step 4: Simplify right side
    140,546.62x = 16,309,489,286.37
  5. Step 5: Solve for x
    x = 16,309,489,286.37/140,546.62
  6. Step 6: Final answer
    x = 116,043.27

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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.