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Finding the Fourth Proportional to 228,098.09, 342,062.06 and 78,295.88

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Solution

The fourth proportional to 228,098.09, 342,062.06 and 78,295.88 is: 117,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,098.09 : 342,062.06 = 78,295.88 : x
  2. Step 2: Convert to fraction form
    228,098.09/342,062.06 = 78,295.88/x
  3. Step 3: Cross multiply
    228,098.09x = 342,062.06 × 78,295.88
  4. Step 4: Simplify right side
    228,098.09x = 26,782,050,465.99
  5. Step 5: Solve for x
    x = 26,782,050,465.99/228,098.09
  6. Step 6: Final answer
    x = 117,414.62

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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.