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Finding the Fourth Proportional to 81,974, 122,958.84 and 22,807.28

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Solution

The fourth proportional to 81,974, 122,958.84 and 22,807.28 is: 34,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,974 : 122,958.84 = 22,807.28 : x
  2. Step 2: Convert to fraction form
    81,974/122,958.84 = 22,807.28/x
  3. Step 3: Cross multiply
    81,974x = 122,958.84 × 22,807.28
  4. Step 4: Simplify right side
    81,974x = 2,804,356,692.36
  5. Step 5: Solve for x
    x = 2,804,356,692.36/81,974
  6. Step 6: Final answer
    x = 34,210.32

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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.