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Finding the Fourth Proportional to 253,785.08, 380,648.18 and 66,811.16

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Solution

The fourth proportional to 253,785.08, 380,648.18 and 66,811.16 is: 100,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,785.08 : 380,648.18 = 66,811.16 : x
  2. Step 2: Convert to fraction form
    253,785.08/380,648.18 = 66,811.16/x
  3. Step 3: Cross multiply
    253,785.08x = 380,648.18 × 66,811.16
  4. Step 4: Simplify right side
    253,785.08x = 25,431,546,457.69
  5. Step 5: Solve for x
    x = 25,431,546,457.69/253,785.08
  6. Step 6: Final answer
    x = 100,208.99

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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.