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Finding the Fourth Proportional to 148,992.19, 205,610.06 and 81,009.83

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Solution

The fourth proportional to 148,992.19, 205,610.06 and 81,009.83 is: 111,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,992.19 : 205,610.06 = 81,009.83 : x
  2. Step 2: Convert to fraction form
    148,992.19/205,610.06 = 81,009.83/x
  3. Step 3: Cross multiply
    148,992.19x = 205,610.06 × 81,009.83
  4. Step 4: Simplify right side
    148,992.19x = 16,656,436,006.89
  5. Step 5: Solve for x
    x = 16,656,436,006.89/148,992.19
  6. Step 6: Final answer
    x = 111,794.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.