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Finding the Fourth Proportional to 140,693.90, 211,051.78 and 40,855.74

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Solution

The fourth proportional to 140,693.90, 211,051.78 and 40,855.74 is: 61,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,693.90 : 211,051.78 = 40,855.74 : x
  2. Step 2: Convert to fraction form
    140,693.90/211,051.78 = 40,855.74/x
  3. Step 3: Cross multiply
    140,693.90x = 211,051.78 × 40,855.74
  4. Step 4: Simplify right side
    140,693.90x = 8,622,676,650.22
  5. Step 5: Solve for x
    x = 8,622,676,650.22/140,693.90
  6. Step 6: Final answer
    x = 61,286.78

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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.