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Finding the Fourth Proportional to 101,769.32, 152,726.88 and 75,394.64

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Solution

The fourth proportional to 101,769.32, 152,726.88 and 75,394.64 is: 113,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,769.32 : 152,726.88 = 75,394.64 : x
  2. Step 2: Convert to fraction form
    101,769.32/152,726.88 = 75,394.64/x
  3. Step 3: Cross multiply
    101,769.32x = 152,726.88 × 75,394.64
  4. Step 4: Simplify right side
    101,769.32x = 11,514,788,135.92
  5. Step 5: Solve for x
    x = 11,514,788,135.92/101,769.32
  6. Step 6: Final answer
    x = 113,145.97

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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.