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Finding the Fourth Proportional to 148,991.16, 205,603.74 and 81,923.16

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Solution

The fourth proportional to 148,991.16, 205,603.74 and 81,923.16 is: 113,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,991.16 : 205,603.74 = 81,923.16 : x
  2. Step 2: Convert to fraction form
    148,991.16/205,603.74 = 81,923.16/x
  3. Step 3: Cross multiply
    148,991.16x = 205,603.74 × 81,923.16
  4. Step 4: Simplify right side
    148,991.16x = 16,843,708,088.62
  5. Step 5: Solve for x
    x = 16,843,708,088.62/148,991.16
  6. Step 6: Final answer
    x = 113,051.73

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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.