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Finding the Fourth Proportional to 78,682.97, 118,042.90 and 31,300.75

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Solution

The fourth proportional to 78,682.97, 118,042.90 and 31,300.75 is: 46,958.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,682.97 : 118,042.90 = 31,300.75 : x
  2. Step 2: Convert to fraction form
    78,682.97/118,042.90 = 31,300.75/x
  3. Step 3: Cross multiply
    78,682.97x = 118,042.90 × 31,300.75
  4. Step 4: Simplify right side
    78,682.97x = 3,694,831,302.18
  5. Step 5: Solve for x
    x = 3,694,831,302.18/78,682.97
  6. Step 6: Final answer
    x = 46,958.46

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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.