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Finding the Fourth Proportional to 133,843.86, 201,076.83 and 78,478.74

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Solution

The fourth proportional to 133,843.86, 201,076.83 and 78,478.74 is: 117,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,843.86 : 201,076.83 = 78,478.74 : x
  2. Step 2: Convert to fraction form
    133,843.86/201,076.83 = 78,478.74/x
  3. Step 3: Cross multiply
    133,843.86x = 201,076.83 × 78,478.74
  4. Step 4: Simplify right side
    133,843.86x = 15,780,256,261.59
  5. Step 5: Solve for x
    x = 15,780,256,261.59/133,843.86
  6. Step 6: Final answer
    x = 117,900.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.