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Finding the Fourth Proportional to 71,790.96, 107,657.26 and 31,266.66

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Solution

The fourth proportional to 71,790.96, 107,657.26 and 31,266.66 is: 46,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,790.96 : 107,657.26 = 31,266.66 : x
  2. Step 2: Convert to fraction form
    71,790.96/107,657.26 = 31,266.66/x
  3. Step 3: Cross multiply
    71,790.96x = 107,657.26 × 31,266.66
  4. Step 4: Simplify right side
    71,790.96x = 3,366,082,944.95
  5. Step 5: Solve for x
    x = 3,366,082,944.95/71,790.96
  6. Step 6: Final answer
    x = 46,887.28

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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.