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Finding the Fourth Proportional to 199,877.38, 299,899.10 and 87,499.75

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Solution

The fourth proportional to 199,877.38, 299,899.10 and 87,499.75 is: 131,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,877.38 : 299,899.10 = 87,499.75 : x
  2. Step 2: Convert to fraction form
    199,877.38/299,899.10 = 87,499.75/x
  3. Step 3: Cross multiply
    199,877.38x = 299,899.10 × 87,499.75
  4. Step 4: Simplify right side
    199,877.38x = 26,241,094,338.23
  5. Step 5: Solve for x
    x = 26,241,094,338.23/199,877.38
  6. Step 6: Final answer
    x = 131,285.97

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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.