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Finding the Fourth Proportional to 101,022.60, 151,242.30 and 89,358.60

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Solution

The fourth proportional to 101,022.60, 151,242.30 and 89,358.60 is: 133,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,022.60 : 151,242.30 = 89,358.60 : x
  2. Step 2: Convert to fraction form
    101,022.60/151,242.30 = 89,358.60/x
  3. Step 3: Cross multiply
    101,022.60x = 151,242.30 × 89,358.60
  4. Step 4: Simplify right side
    101,022.60x = 13,514,800,188.78
  5. Step 5: Solve for x
    x = 13,514,800,188.78/101,022.60
  6. Step 6: Final answer
    x = 133,779.97

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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.