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Finding the Fourth Proportional to 191,781.87, 264,662.46 and 106,889.82

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Solution

The fourth proportional to 191,781.87, 264,662.46 and 106,889.82 is: 147,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,781.87 : 264,662.46 = 106,889.82 : x
  2. Step 2: Convert to fraction form
    191,781.87/264,662.46 = 106,889.82/x
  3. Step 3: Cross multiply
    191,781.87x = 264,662.46 × 106,889.82
  4. Step 4: Simplify right side
    191,781.87x = 28,289,722,710.16
  5. Step 5: Solve for x
    x = 28,289,722,710.16/191,781.87
  6. Step 6: Final answer
    x = 147,509.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.