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Finding the Fourth Proportional to 110,782.81, 166,172.91 and 75,155.86

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Solution

The fourth proportional to 110,782.81, 166,172.91 and 75,155.86 is: 112,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,782.81 : 166,172.91 = 75,155.86 : x
  2. Step 2: Convert to fraction form
    110,782.81/166,172.91 = 75,155.86/x
  3. Step 3: Cross multiply
    110,782.81x = 166,172.91 × 75,155.86
  4. Step 4: Simplify right side
    110,782.81x = 12,488,867,959.75
  5. Step 5: Solve for x
    x = 12,488,867,959.75/110,782.81
  6. Step 6: Final answer
    x = 112,732.90

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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.