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Finding the Fourth Proportional to 140,698.92, 211,051.08 and 51,906.72

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Solution

The fourth proportional to 140,698.92, 211,051.08 and 51,906.72 is: 77,861.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,698.92 : 211,051.08 = 51,906.72 : x
  2. Step 2: Convert to fraction form
    140,698.92/211,051.08 = 51,906.72/x
  3. Step 3: Cross multiply
    140,698.92x = 211,051.08 × 51,906.72
  4. Step 4: Simplify right side
    140,698.92x = 10,954,969,315.26
  5. Step 5: Solve for x
    x = 10,954,969,315.26/140,698.92
  6. Step 6: Final answer
    x = 77,861.08

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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.