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Finding the Fourth Proportional to 83,364.56, 115,044.36 and 45,642.32

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Solution

The fourth proportional to 83,364.56, 115,044.36 and 45,642.32 is: 62,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,364.56 : 115,044.36 = 45,642.32 : x
  2. Step 2: Convert to fraction form
    83,364.56/115,044.36 = 45,642.32/x
  3. Step 3: Cross multiply
    83,364.56x = 115,044.36 × 45,642.32
  4. Step 4: Simplify right side
    83,364.56x = 5,250,891,493.32
  5. Step 5: Solve for x
    x = 5,250,891,493.32/83,364.56
  6. Step 6: Final answer
    x = 62,987.10

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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.