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Finding the Fourth Proportional to 78,094.80, 117,188.86 and 71,742.38

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Solution

The fourth proportional to 78,094.80, 117,188.86 and 71,742.38 is: 107,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,094.80 : 117,188.86 = 71,742.38 : x
  2. Step 2: Convert to fraction form
    78,094.80/117,188.86 = 71,742.38/x
  3. Step 3: Cross multiply
    78,094.80x = 117,188.86 × 71,742.38
  4. Step 4: Simplify right side
    78,094.80x = 8,407,407,725.89
  5. Step 5: Solve for x
    x = 8,407,407,725.89/78,094.80
  6. Step 6: Final answer
    x = 107,656.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.