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Finding the Fourth Proportional to 71,159.58, 106,776.29 and 31,707.52

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Solution

The fourth proportional to 71,159.58, 106,776.29 and 31,707.52 is: 47,577.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,159.58 : 106,776.29 = 31,707.52 : x
  2. Step 2: Convert to fraction form
    71,159.58/106,776.29 = 31,707.52/x
  3. Step 3: Cross multiply
    71,159.58x = 106,776.29 × 31,707.52
  4. Step 4: Simplify right side
    71,159.58x = 3,385,611,163.03
  5. Step 5: Solve for x
    x = 3,385,611,163.03/71,159.58
  6. Step 6: Final answer
    x = 47,577.73

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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.