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Finding the Fourth Proportional to 149,392.33, 206,158.85 and 81,409.89

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Solution

The fourth proportional to 149,392.33, 206,158.85 and 81,409.89 is: 112,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,392.33 : 206,158.85 = 81,409.89 : x
  2. Step 2: Convert to fraction form
    149,392.33/206,158.85 = 81,409.89/x
  3. Step 3: Cross multiply
    149,392.33x = 206,158.85 × 81,409.89
  4. Step 4: Simplify right side
    149,392.33x = 16,783,370,043.74
  5. Step 5: Solve for x
    x = 16,783,370,043.74/149,392.33
  6. Step 6: Final answer
    x = 112,344.25

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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.