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Finding the Fourth Proportional to 191,990, 264,945.44 and 107,106.96

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Solution

The fourth proportional to 191,990, 264,945.44 and 107,106.96 is: 147,807.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,990 : 264,945.44 = 107,106.96 : x
  2. Step 2: Convert to fraction form
    191,990/264,945.44 = 107,106.96/x
  3. Step 3: Cross multiply
    191,990x = 264,945.44 × 107,106.96
  4. Step 4: Simplify right side
    191,990x = 28,377,500,644.26
  5. Step 5: Solve for x
    x = 28,377,500,644.26/191,990
  6. Step 6: Final answer
    x = 147,807.18

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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.