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Finding the Fourth Proportional to 69,418.81, 103,989.48 and 31,927.51

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Solution

The fourth proportional to 69,418.81, 103,989.48 and 31,927.51 is: 47,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,418.81 : 103,989.48 = 31,927.51 : x
  2. Step 2: Convert to fraction form
    69,418.81/103,989.48 = 31,927.51/x
  3. Step 3: Cross multiply
    69,418.81x = 103,989.48 × 31,927.51
  4. Step 4: Simplify right side
    69,418.81x = 3,320,125,162.59
  5. Step 5: Solve for x
    x = 3,320,125,162.59/69,418.81
  6. Step 6: Final answer
    x = 47,827.46

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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.