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Finding the Fourth Proportional to 164,590.70, 227,135.16 and 89,139.20

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Solution

The fourth proportional to 164,590.70, 227,135.16 and 89,139.20 is: 123,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,590.70 : 227,135.16 = 89,139.20 : x
  2. Step 2: Convert to fraction form
    164,590.70/227,135.16 = 89,139.20/x
  3. Step 3: Cross multiply
    164,590.70x = 227,135.16 × 89,139.20
  4. Step 4: Simplify right side
    164,590.70x = 20,246,645,318.60
  5. Step 5: Solve for x
    x = 20,246,645,318.60/164,590.70
  6. Step 6: Final answer
    x = 123,012.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.