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Finding the Fourth Proportional to 149,554.50, 206,389.53 and 82,490.82

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Solution

The fourth proportional to 149,554.50, 206,389.53 and 82,490.82 is: 113,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,554.50 : 206,389.53 = 82,490.82 : x
  2. Step 2: Convert to fraction form
    149,554.50/206,389.53 = 82,490.82/x
  3. Step 3: Cross multiply
    149,554.50x = 206,389.53 × 82,490.82
  4. Step 4: Simplify right side
    149,554.50x = 17,025,241,569.11
  5. Step 5: Solve for x
    x = 17,025,241,569.11/149,554.50
  6. Step 6: Final answer
    x = 113,839.71

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1.5x scale

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.