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Finding the Fourth Proportional to 165,529, 248,294.16 and 40,870

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Solution

The fourth proportional to 165,529, 248,294.16 and 40,870 is: 61,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,529 : 248,294.16 = 40,870 : x
  2. Step 2: Convert to fraction form
    165,529/248,294.16 = 40,870/x
  3. Step 3: Cross multiply
    165,529x = 248,294.16 × 40,870
  4. Step 4: Simplify right side
    165,529x = 10,147,782,319.20
  5. Step 5: Solve for x
    x = 10,147,782,319.20/165,529
  6. Step 6: Final answer
    x = 61,305.16

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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.