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Finding the Fourth Proportional to 81,105.93, 121,582.32 and 39,009.82

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Solution

The fourth proportional to 81,105.93, 121,582.32 and 39,009.82 is: 58,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,105.93 : 121,582.32 = 39,009.82 : x
  2. Step 2: Convert to fraction form
    81,105.93/121,582.32 = 39,009.82/x
  3. Step 3: Cross multiply
    81,105.93x = 121,582.32 × 39,009.82
  4. Step 4: Simplify right side
    81,105.93x = 4,742,904,418.38
  5. Step 5: Solve for x
    x = 4,742,904,418.38/81,105.93
  6. Step 6: Final answer
    x = 58,477.90

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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.