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Finding the Fourth Proportional to 228,155.78, 342,291.98 and 87,876.74

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Solution

The fourth proportional to 228,155.78, 342,291.98 and 87,876.74 is: 131,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,155.78 : 342,291.98 = 87,876.74 : x
  2. Step 2: Convert to fraction form
    228,155.78/342,291.98 = 87,876.74/x
  3. Step 3: Cross multiply
    228,155.78x = 342,291.98 × 87,876.74
  4. Step 4: Simplify right side
    228,155.78x = 30,079,501,838.78
  5. Step 5: Solve for x
    x = 30,079,501,838.78/228,155.78
  6. Step 6: Final answer
    x = 131,837.57

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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.