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Finding the Fourth Proportional to 228,016, 342,028.86 and 78,255.64

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Solution

The fourth proportional to 228,016, 342,028.86 and 78,255.64 is: 117,385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,016 : 342,028.86 = 78,255.64 : x
  2. Step 2: Convert to fraction form
    228,016/342,028.86 = 78,255.64/x
  3. Step 3: Cross multiply
    228,016x = 342,028.86 × 78,255.64
  4. Step 4: Simplify right side
    228,016x = 26,765,687,337.77
  5. Step 5: Solve for x
    x = 26,765,687,337.77/228,016
  6. Step 6: Final answer
    x = 117,385.13

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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.