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Finding the Fourth Proportional to 83,364.12, 115,042.68 and 45,640.80

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Solution

The fourth proportional to 83,364.12, 115,042.68 and 45,640.80 is: 62,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,364.12 : 115,042.68 = 45,640.80 : x
  2. Step 2: Convert to fraction form
    83,364.12/115,042.68 = 45,640.80/x
  3. Step 3: Cross multiply
    83,364.12x = 115,042.68 × 45,640.80
  4. Step 4: Simplify right side
    83,364.12x = 5,250,639,949.34
  5. Step 5: Solve for x
    x = 5,250,639,949.34/83,364.12
  6. Step 6: Final answer
    x = 62,984.41

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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.