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Finding the Fourth Proportional to 228,228, 342,258.04 and 78,425.76

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Solution

The fourth proportional to 228,228, 342,258.04 and 78,425.76 is: 117,609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,228 : 342,258.04 = 78,425.76 : x
  2. Step 2: Convert to fraction form
    228,228/342,258.04 = 78,425.76/x
  3. Step 3: Cross multiply
    228,228x = 342,258.04 × 78,425.76
  4. Step 4: Simplify right side
    228,228x = 26,841,846,903.11
  5. Step 5: Solve for x
    x = 26,841,846,903.11/228,228
  6. Step 6: Final answer
    x = 117,609.79

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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.