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Finding the Fourth Proportional to 140,942.86, 211,381.47 and 65,991.65

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Solution

The fourth proportional to 140,942.86, 211,381.47 and 65,991.65 is: 98,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,942.86 : 211,381.47 = 65,991.65 : x
  2. Step 2: Convert to fraction form
    140,942.86/211,381.47 = 65,991.65/x
  3. Step 3: Cross multiply
    140,942.86x = 211,381.47 × 65,991.65
  4. Step 4: Simplify right side
    140,942.86x = 13,949,410,927.82
  5. Step 5: Solve for x
    x = 13,949,410,927.82/140,942.86
  6. Step 6: Final answer
    x = 98,972.10

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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.