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Finding the Fourth Proportional to 201,585.87, 278,188.55 and 110,941.80

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Solution

The fourth proportional to 201,585.87, 278,188.55 and 110,941.80 is: 153,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,585.87 : 278,188.55 = 110,941.80 : x
  2. Step 2: Convert to fraction form
    201,585.87/278,188.55 = 110,941.80/x
  3. Step 3: Cross multiply
    201,585.87x = 278,188.55 × 110,941.80
  4. Step 4: Simplify right side
    201,585.87x = 30,862,737,921.68
  5. Step 5: Solve for x
    x = 30,862,737,921.68/201,585.87
  6. Step 6: Final answer
    x = 153,099.71

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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.