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Finding the Fourth Proportional to 149,539.62, 206,361.60 and 82,471.62

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Solution

The fourth proportional to 149,539.62, 206,361.60 and 82,471.62 is: 113,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,539.62 : 206,361.60 = 82,471.62 : x
  2. Step 2: Convert to fraction form
    149,539.62/206,361.60 = 82,471.62/x
  3. Step 3: Cross multiply
    149,539.62x = 206,361.60 × 82,471.62
  4. Step 4: Simplify right side
    149,539.62x = 17,018,975,457.79
  5. Step 5: Solve for x
    x = 17,018,975,457.79/149,539.62
  6. Step 6: Final answer
    x = 113,809.14

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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.