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Finding the Fourth Proportional to 149,357.89, 206,190.07 and 101,214.16

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Solution

The fourth proportional to 149,357.89, 206,190.07 and 101,214.16 is: 139,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,357.89 : 206,190.07 = 101,214.16 : x
  2. Step 2: Convert to fraction form
    149,357.89/206,190.07 = 101,214.16/x
  3. Step 3: Cross multiply
    149,357.89x = 206,190.07 × 101,214.16
  4. Step 4: Simplify right side
    149,357.89x = 20,869,354,740.09
  5. Step 5: Solve for x
    x = 20,869,354,740.09/149,357.89
  6. Step 6: Final answer
    x = 139,727.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.