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Finding the Fourth Proportional to 72,175.82, 108,263.81 and 19,585.31

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Solution

The fourth proportional to 72,175.82, 108,263.81 and 19,585.31 is: 29,377.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,175.82 : 108,263.81 = 19,585.31 : x
  2. Step 2: Convert to fraction form
    72,175.82/108,263.81 = 19,585.31/x
  3. Step 3: Cross multiply
    72,175.82x = 108,263.81 × 19,585.31
  4. Step 4: Simplify right side
    72,175.82x = 2,120,379,788.28
  5. Step 5: Solve for x
    x = 2,120,379,788.28/72,175.82
  6. Step 6: Final answer
    x = 29,377.98

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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.