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Finding the Fourth Proportional to 82,135.88, 113,244.82 and 68,543.51

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Solution

The fourth proportional to 82,135.88, 113,244.82 and 68,543.51 is: 94,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,135.88 : 113,244.82 = 68,543.51 : x
  2. Step 2: Convert to fraction form
    82,135.88/113,244.82 = 68,543.51/x
  3. Step 3: Cross multiply
    82,135.88x = 113,244.82 × 68,543.51
  4. Step 4: Simplify right side
    82,135.88x = 7,762,197,452.12
  5. Step 5: Solve for x
    x = 7,762,197,452.12/82,135.88
  6. Step 6: Final answer
    x = 94,504.34

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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.