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Finding the Fourth Proportional to 83,491.80, 115,223.10 and 45,767.64

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Solution

The fourth proportional to 83,491.80, 115,223.10 and 45,767.64 is: 63,161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,491.80 : 115,223.10 = 45,767.64 : x
  2. Step 2: Convert to fraction form
    83,491.80/115,223.10 = 45,767.64/x
  3. Step 3: Cross multiply
    83,491.80x = 115,223.10 × 45,767.64
  4. Step 4: Simplify right side
    83,491.80x = 5,273,489,360.48
  5. Step 5: Solve for x
    x = 5,273,489,360.48/83,491.80
  6. Step 6: Final answer
    x = 63,161.76

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1.5x scale

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.