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Finding the Fourth Proportional to 254,016.21, 380,785.90 and 85,418.63

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Solution

The fourth proportional to 254,016.21, 380,785.90 and 85,418.63 is: 128,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,016.21 : 380,785.90 = 85,418.63 : x
  2. Step 2: Convert to fraction form
    254,016.21/380,785.90 = 85,418.63/x
  3. Step 3: Cross multiply
    254,016.21x = 380,785.90 × 85,418.63
  4. Step 4: Simplify right side
    254,016.21x = 32,526,209,901.32
  5. Step 5: Solve for x
    x = 32,526,209,901.32/254,016.21
  6. Step 6: Final answer
    x = 128,047.77

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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.