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Finding the Fourth Proportional to 97,991.75, 135,236.48 and 57,168.42

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Solution

The fourth proportional to 97,991.75, 135,236.48 and 57,168.42 is: 78,897.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,991.75 : 135,236.48 = 57,168.42 : x
  2. Step 2: Convert to fraction form
    97,991.75/135,236.48 = 57,168.42/x
  3. Step 3: Cross multiply
    97,991.75x = 135,236.48 × 57,168.42
  4. Step 4: Simplify right side
    97,991.75x = 7,731,255,602.12
  5. Step 5: Solve for x
    x = 7,731,255,602.12/97,991.75
  6. Step 6: Final answer
    x = 78,897.01

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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.