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Finding the Fourth Proportional to 199,876.38, 299,897.60 and 87,498.75

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Solution

The fourth proportional to 199,876.38, 299,897.60 and 87,498.75 is: 131,284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,876.38 : 299,897.60 = 87,498.75 : x
  2. Step 2: Convert to fraction form
    199,876.38/299,897.60 = 87,498.75/x
  3. Step 3: Cross multiply
    199,876.38x = 299,897.60 × 87,498.75
  4. Step 4: Simplify right side
    199,876.38x = 26,240,663,191.02
  5. Step 5: Solve for x
    x = 26,240,663,191.02/199,876.38
  6. Step 6: Final answer
    x = 131,284.47

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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.