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Finding the Fourth Proportional to 100,919.37, 151,382.49 and 53,470.26

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Solution

The fourth proportional to 100,919.37, 151,382.49 and 53,470.26 is: 80,207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,919.37 : 151,382.49 = 53,470.26 : x
  2. Step 2: Convert to fraction form
    100,919.37/151,382.49 = 53,470.26/x
  3. Step 3: Cross multiply
    100,919.37x = 151,382.49 × 53,470.26
  4. Step 4: Simplify right side
    100,919.37x = 8,094,461,099.75
  5. Step 5: Solve for x
    x = 8,094,461,099.75/100,919.37
  6. Step 6: Final answer
    x = 80,207.21

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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.