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Finding the Fourth Proportional to 83,661, 115,452.99 and 45,936.06

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Solution

The fourth proportional to 83,661, 115,452.99 and 45,936.06 is: 63,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,661 : 115,452.99 = 45,936.06 : x
  2. Step 2: Convert to fraction form
    83,661/115,452.99 = 45,936.06/x
  3. Step 3: Cross multiply
    83,661x = 115,452.99 × 45,936.06
  4. Step 4: Simplify right side
    83,661x = 5,303,455,475.82
  5. Step 5: Solve for x
    x = 5,303,455,475.82/83,661
  6. Step 6: Final answer
    x = 63,392.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.