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Finding the Fourth Proportional to 81,193, 121,804.86 and 37,417

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Solution

The fourth proportional to 81,193, 121,804.86 and 37,417 is: 56,132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,193 : 121,804.86 = 37,417 : x
  2. Step 2: Convert to fraction form
    81,193/121,804.86 = 37,417/x
  3. Step 3: Cross multiply
    81,193x = 121,804.86 × 37,417
  4. Step 4: Simplify right side
    81,193x = 4,557,572,446.62
  5. Step 5: Solve for x
    x = 4,557,572,446.62/81,193
  6. Step 6: Final answer
    x = 56,132.58

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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.