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Finding the Fourth Proportional to 149,570.25, 206,406.95 and 82,502.25

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Solution

The fourth proportional to 149,570.25, 206,406.95 and 82,502.25 is: 113,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,570.25 : 206,406.95 = 82,502.25 : x
  2. Step 2: Convert to fraction form
    149,570.25/206,406.95 = 82,502.25/x
  3. Step 3: Cross multiply
    149,570.25x = 206,406.95 × 82,502.25
  4. Step 4: Simplify right side
    149,570.25x = 17,029,037,378.13
  5. Step 5: Solve for x
    x = 17,029,037,378.13/149,570.25
  6. Step 6: Final answer
    x = 113,853.11

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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.