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Finding the Fourth Proportional to 78,170.48, 107,882.56 and 44,630

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Solution

The fourth proportional to 78,170.48, 107,882.56 and 44,630 is: 61,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,170.48 : 107,882.56 = 44,630 : x
  2. Step 2: Convert to fraction form
    78,170.48/107,882.56 = 44,630/x
  3. Step 3: Cross multiply
    78,170.48x = 107,882.56 × 44,630
  4. Step 4: Simplify right side
    78,170.48x = 4,814,798,652.80
  5. Step 5: Solve for x
    x = 4,814,798,652.80/78,170.48
  6. Step 6: Final answer
    x = 61,593.57

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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.