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Finding the Fourth Proportional to 69,403.13, 104,089.11 and 31,927.20

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Solution

The fourth proportional to 69,403.13, 104,089.11 and 31,927.20 is: 47,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,403.13 : 104,089.11 = 31,927.20 : x
  2. Step 2: Convert to fraction form
    69,403.13/104,089.11 = 31,927.20/x
  3. Step 3: Cross multiply
    69,403.13x = 104,089.11 × 31,927.20
  4. Step 4: Simplify right side
    69,403.13x = 3,323,273,832.79
  5. Step 5: Solve for x
    x = 3,323,273,832.79/69,403.13
  6. Step 6: Final answer
    x = 47,883.63

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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.