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Finding the Fourth Proportional to 140,704.86, 210,722.25 and 81,415.58

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Solution

The fourth proportional to 140,704.86, 210,722.25 and 81,415.58 is: 121,929.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,704.86 : 210,722.25 = 81,415.58 : x
  2. Step 2: Convert to fraction form
    140,704.86/210,722.25 = 81,415.58/x
  3. Step 3: Cross multiply
    140,704.86x = 210,722.25 × 81,415.58
  4. Step 4: Simplify right side
    140,704.86x = 17,156,074,202.66
  5. Step 5: Solve for x
    x = 17,156,074,202.66/140,704.86
  6. Step 6: Final answer
    x = 121,929.51

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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.