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Finding the Fourth Proportional to 149,015.51, 205,643.84 and 81,033.83

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Solution

The fourth proportional to 149,015.51, 205,643.84 and 81,033.83 is: 111,828.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,015.51 : 205,643.84 = 81,033.83 : x
  2. Step 2: Convert to fraction form
    149,015.51/205,643.84 = 81,033.83/x
  3. Step 3: Cross multiply
    149,015.51x = 205,643.84 × 81,033.83
  4. Step 4: Simplify right side
    149,015.51x = 16,664,107,971.11
  5. Step 5: Solve for x
    x = 16,664,107,971.11/149,015.51
  6. Step 6: Final answer
    x = 111,828.01

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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.