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Finding the Fourth Proportional to 111,220.52, 166,412.22 and 78,005.40

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Solution

The fourth proportional to 111,220.52, 166,412.22 and 78,005.40 is: 116,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,220.52 : 166,412.22 = 78,005.40 : x
  2. Step 2: Convert to fraction form
    111,220.52/166,412.22 = 78,005.40/x
  3. Step 3: Cross multiply
    111,220.52x = 166,412.22 × 78,005.40
  4. Step 4: Simplify right side
    111,220.52x = 12,981,051,785.99
  5. Step 5: Solve for x
    x = 12,981,051,785.99/111,220.52
  6. Step 6: Final answer
    x = 116,714.54

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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.