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Finding the Fourth Proportional to 101,805.26, 152,781.76 and 71,621.01

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Solution

The fourth proportional to 101,805.26, 152,781.76 and 71,621.01 is: 107,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,805.26 : 152,781.76 = 71,621.01 : x
  2. Step 2: Convert to fraction form
    101,805.26/152,781.76 = 71,621.01/x
  3. Step 3: Cross multiply
    101,805.26x = 152,781.76 × 71,621.01
  4. Step 4: Simplify right side
    101,805.26x = 10,942,384,050.30
  5. Step 5: Solve for x
    x = 10,942,384,050.30/101,805.26
  6. Step 6: Final answer
    x = 107,483.49

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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.