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Finding the Fourth Proportional to 71,438.88, 107,111.04 and 31,941.60

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Solution

The fourth proportional to 71,438.88, 107,111.04 and 31,941.60 is: 47,891.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,438.88 : 107,111.04 = 31,941.60 : x
  2. Step 2: Convert to fraction form
    71,438.88/107,111.04 = 31,941.60/x
  3. Step 3: Cross multiply
    71,438.88x = 107,111.04 × 31,941.60
  4. Step 4: Simplify right side
    71,438.88x = 3,421,297,995.26
  5. Step 5: Solve for x
    x = 3,421,297,995.26/71,438.88
  6. Step 6: Final answer
    x = 47,891.26

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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.