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Finding the Fourth Proportional to 191,074, 263,682.48 and 106,211.20

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Solution

The fourth proportional to 191,074, 263,682.48 and 106,211.20 is: 146,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,074 : 263,682.48 = 106,211.20 : x
  2. Step 2: Convert to fraction form
    191,074/263,682.48 = 106,211.20/x
  3. Step 3: Cross multiply
    191,074x = 263,682.48 × 106,211.20
  4. Step 4: Simplify right side
    191,074x = 28,006,032,619.78
  5. Step 5: Solve for x
    x = 28,006,032,619.78/191,074
  6. Step 6: Final answer
    x = 146,571.66

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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.