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Finding the Fourth Proportional to 83,165.42, 114,765.78 and 45,439.64

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Solution

The fourth proportional to 83,165.42, 114,765.78 and 45,439.64 is: 62,705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,165.42 : 114,765.78 = 45,439.64 : x
  2. Step 2: Convert to fraction form
    83,165.42/114,765.78 = 45,439.64/x
  3. Step 3: Cross multiply
    83,165.42x = 114,765.78 × 45,439.64
  4. Step 4: Simplify right side
    83,165.42x = 5,214,915,727.52
  5. Step 5: Solve for x
    x = 5,214,915,727.52/83,165.42
  6. Step 6: Final answer
    x = 62,705.34

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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.