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Finding the Fourth Proportional to 149,106.59, 205,764.83 and 81,122.01

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Solution

The fourth proportional to 149,106.59, 205,764.83 and 81,122.01 is: 111,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,106.59 : 205,764.83 = 81,122.01 : x
  2. Step 2: Convert to fraction form
    149,106.59/205,764.83 = 81,122.01/x
  3. Step 3: Cross multiply
    149,106.59x = 205,764.83 × 81,122.01
  4. Step 4: Simplify right side
    149,106.59x = 16,692,056,191.30
  5. Step 5: Solve for x
    x = 16,692,056,191.30/149,106.59
  6. Step 6: Final answer
    x = 111,947.14

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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.