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Finding the Fourth Proportional to 201,571.57, 278,180.25 and 115,544.86

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Solution

The fourth proportional to 201,571.57, 278,180.25 and 115,544.86 is: 159,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,571.57 : 278,180.25 = 115,544.86 : x
  2. Step 2: Convert to fraction form
    201,571.57/278,180.25 = 115,544.86/x
  3. Step 3: Cross multiply
    201,571.57x = 278,180.25 × 115,544.86
  4. Step 4: Simplify right side
    201,571.57x = 32,142,298,041.02
  5. Step 5: Solve for x
    x = 32,142,298,041.02/201,571.57
  6. Step 6: Final answer
    x = 159,458.49

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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.