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Finding the Fourth Proportional to 149,235.57, 206,073.10 and 144,409.80

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Solution

The fourth proportional to 149,235.57, 206,073.10 and 144,409.80 is: 199,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,235.57 : 206,073.10 = 144,409.80 : x
  2. Step 2: Convert to fraction form
    149,235.57/206,073.10 = 144,409.80/x
  3. Step 3: Cross multiply
    149,235.57x = 206,073.10 × 144,409.80
  4. Step 4: Simplify right side
    149,235.57x = 29,758,973,584.48
  5. Step 5: Solve for x
    x = 29,758,973,584.48/149,235.57
  6. Step 6: Final answer
    x = 199,409.38

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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.