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Finding the Fourth Proportional to 105,005.80, 157,508.70 and 75,481.30

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Solution

The fourth proportional to 105,005.80, 157,508.70 and 75,481.30 is: 113,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,005.80 : 157,508.70 = 75,481.30 : x
  2. Step 2: Convert to fraction form
    105,005.80/157,508.70 = 75,481.30/x
  3. Step 3: Cross multiply
    105,005.80x = 157,508.70 × 75,481.30
  4. Step 4: Simplify right side
    105,005.80x = 11,888,961,437.31
  5. Step 5: Solve for x
    x = 11,888,961,437.31/105,005.80
  6. Step 6: Final answer
    x = 113,221.95

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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.