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Finding the Fourth Proportional to 111,027.70, 166,541.55 and 77,785.30

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Solution

The fourth proportional to 111,027.70, 166,541.55 and 77,785.30 is: 116,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,027.70 : 166,541.55 = 77,785.30 : x
  2. Step 2: Convert to fraction form
    111,027.70/166,541.55 = 77,785.30/x
  3. Step 3: Cross multiply
    111,027.70x = 166,541.55 × 77,785.30
  4. Step 4: Simplify right side
    111,027.70x = 12,954,484,429.22
  5. Step 5: Solve for x
    x = 12,954,484,429.22/111,027.70
  6. Step 6: Final answer
    x = 116,677.95

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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.