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Finding the Fourth Proportional to 149,830.56, 206,701.20 and 90,180

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Solution

The fourth proportional to 149,830.56, 206,701.20 and 90,180 is: 124,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,830.56 : 206,701.20 = 90,180 : x
  2. Step 2: Convert to fraction form
    149,830.56/206,701.20 = 90,180/x
  3. Step 3: Cross multiply
    149,830.56x = 206,701.20 × 90,180
  4. Step 4: Simplify right side
    149,830.56x = 18,640,314,216
  5. Step 5: Solve for x
    x = 18,640,314,216/149,830.56
  6. Step 6: Final answer
    x = 124,409.29

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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.