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Finding the Fourth Proportional to 71,160, 106,750.43 and 29,042.64

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Solution

The fourth proportional to 71,160, 106,750.43 and 29,042.64 is: 43,568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,160 : 106,750.43 = 29,042.64 : x
  2. Step 2: Convert to fraction form
    71,160/106,750.43 = 29,042.64/x
  3. Step 3: Cross multiply
    71,160x = 106,750.43 × 29,042.64
  4. Step 4: Simplify right side
    71,160x = 3,100,314,163.12
  5. Step 5: Solve for x
    x = 3,100,314,163.12/71,160
  6. Step 6: Final answer
    x = 43,568.21

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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.