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Finding the Fourth Proportional to 71,427.86, 107,116.94 and 29,295.98

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Solution

The fourth proportional to 71,427.86, 107,116.94 and 29,295.98 is: 43,933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,427.86 : 107,116.94 = 29,295.98 : x
  2. Step 2: Convert to fraction form
    71,427.86/107,116.94 = 29,295.98/x
  3. Step 3: Cross multiply
    71,427.86x = 107,116.94 × 29,295.98
  4. Step 4: Simplify right side
    71,427.86x = 3,138,095,731.90
  5. Step 5: Solve for x
    x = 3,138,095,731.90/71,427.86
  6. Step 6: Final answer
    x = 43,933.78

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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.