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Finding the Fourth Proportional to 111,509.78, 167,027.72 and 75,508.11

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Solution

The fourth proportional to 111,509.78, 167,027.72 and 75,508.11 is: 113,101.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,509.78 : 167,027.72 = 75,508.11 : x
  2. Step 2: Convert to fraction form
    111,509.78/167,027.72 = 75,508.11/x
  3. Step 3: Cross multiply
    111,509.78x = 167,027.72 × 75,508.11
  4. Step 4: Simplify right side
    111,509.78x = 12,611,947,077.27
  5. Step 5: Solve for x
    x = 12,611,947,077.27/111,509.78
  6. Step 6: Final answer
    x = 113,101.72

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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.