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Finding the Fourth Proportional to 165,297.31, 247,948.70 and 71,803.06

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Solution

The fourth proportional to 165,297.31, 247,948.70 and 71,803.06 is: 107,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,297.31 : 247,948.70 = 71,803.06 : x
  2. Step 2: Convert to fraction form
    165,297.31/247,948.70 = 71,803.06/x
  3. Step 3: Cross multiply
    165,297.31x = 247,948.70 × 71,803.06
  4. Step 4: Simplify right side
    165,297.31x = 17,803,474,404.14
  5. Step 5: Solve for x
    x = 17,803,474,404.14/165,297.31
  6. Step 6: Final answer
    x = 107,705.77

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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.