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Finding the Fourth Proportional to 149,079.96, 205,744.90 and 111,288.60

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Solution

The fourth proportional to 149,079.96, 205,744.90 and 111,288.60 is: 153,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,079.96 : 205,744.90 = 111,288.60 : x
  2. Step 2: Convert to fraction form
    149,079.96/205,744.90 = 111,288.60/x
  3. Step 3: Cross multiply
    149,079.96x = 205,744.90 × 111,288.60
  4. Step 4: Simplify right side
    149,079.96x = 22,897,061,878.14
  5. Step 5: Solve for x
    x = 22,897,061,878.14/149,079.96
  6. Step 6: Final answer
    x = 153,589.13

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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.