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Finding the Fourth Proportional to 78,206.70, 107,987.37 and 72,236.22

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Solution

The fourth proportional to 78,206.70, 107,987.37 and 72,236.22 is: 99,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,206.70 : 107,987.37 = 72,236.22 : x
  2. Step 2: Convert to fraction form
    78,206.70/107,987.37 = 72,236.22/x
  3. Step 3: Cross multiply
    78,206.70x = 107,987.37 × 72,236.22
  4. Step 4: Simplify right side
    78,206.70x = 7,800,599,416.54
  5. Step 5: Solve for x
    x = 7,800,599,416.54/78,206.70
  6. Step 6: Final answer
    x = 99,743.36

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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.