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Finding the Fourth Proportional to 140,778.44, 211,198.80 and 77,566.01

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Solution

The fourth proportional to 140,778.44, 211,198.80 and 77,566.01 is: 116,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,778.44 : 211,198.80 = 77,566.01 : x
  2. Step 2: Convert to fraction form
    140,778.44/211,198.80 = 77,566.01/x
  3. Step 3: Cross multiply
    140,778.44x = 211,198.80 × 77,566.01
  4. Step 4: Simplify right side
    140,778.44x = 16,381,848,232.79
  5. Step 5: Solve for x
    x = 16,381,848,232.79/140,778.44
  6. Step 6: Final answer
    x = 116,366.17

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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.