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Finding the Fourth Proportional to 78,164.06, 107,824.79 and 47,546.51

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Solution

The fourth proportional to 78,164.06, 107,824.79 and 47,546.51 is: 65,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,164.06 : 107,824.79 = 47,546.51 : x
  2. Step 2: Convert to fraction form
    78,164.06/107,824.79 = 47,546.51/x
  3. Step 3: Cross multiply
    78,164.06x = 107,824.79 × 47,546.51
  4. Step 4: Simplify right side
    78,164.06x = 5,126,692,218.25
  5. Step 5: Solve for x
    x = 5,126,692,218.25/78,164.06
  6. Step 6: Final answer
    x = 65,588.87

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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.