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Finding the Fourth Proportional to 78,157.38, 117,241.50 and 31,410.30

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Solution

The fourth proportional to 78,157.38, 117,241.50 and 31,410.30 is: 47,117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157.38 : 117,241.50 = 31,410.30 : x
  2. Step 2: Convert to fraction form
    78,157.38/117,241.50 = 31,410.30/x
  3. Step 3: Cross multiply
    78,157.38x = 117,241.50 × 31,410.30
  4. Step 4: Simplify right side
    78,157.38x = 3,682,590,687.45
  5. Step 5: Solve for x
    x = 3,682,590,687.45/78,157.38
  6. Step 6: Final answer
    x = 47,117.63

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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.