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Finding the Fourth Proportional to 201,718.60, 278,373.74 and 111,083

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Solution

The fourth proportional to 201,718.60, 278,373.74 and 111,083 is: 153,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,718.60 : 278,373.74 = 111,083 : x
  2. Step 2: Convert to fraction form
    201,718.60/278,373.74 = 111,083/x
  3. Step 3: Cross multiply
    201,718.60x = 278,373.74 × 111,083
  4. Step 4: Simplify right side
    201,718.60x = 30,922,590,160.42
  5. Step 5: Solve for x
    x = 30,922,590,160.42/201,718.60
  6. Step 6: Final answer
    x = 153,295.68

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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.