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Finding the Fourth Proportional to 228,015, 342,027.36 and 78,254.64

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Solution

The fourth proportional to 228,015, 342,027.36 and 78,254.64 is: 117,383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,015 : 342,027.36 = 78,254.64 : x
  2. Step 2: Convert to fraction form
    228,015/342,027.36 = 78,254.64/x
  3. Step 3: Cross multiply
    228,015x = 342,027.36 × 78,254.64
  4. Step 4: Simplify right side
    228,015x = 26,765,227,926.95
  5. Step 5: Solve for x
    x = 26,765,227,926.95/228,015
  6. Step 6: Final answer
    x = 117,383.63

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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.