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Finding the Fourth Proportional to 78,998.80, 109,019.64 and 47,170.48

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Solution

The fourth proportional to 78,998.80, 109,019.64 and 47,170.48 is: 65,096.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,998.80 : 109,019.64 = 47,170.48 : x
  2. Step 2: Convert to fraction form
    78,998.80/109,019.64 = 47,170.48/x
  3. Step 3: Cross multiply
    78,998.80x = 109,019.64 × 47,170.48
  4. Step 4: Simplify right side
    78,998.80x = 5,142,508,748.23
  5. Step 5: Solve for x
    x = 5,142,508,748.23/78,998.80
  6. Step 6: Final answer
    x = 65,096.04

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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.