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Finding the Fourth Proportional to 254,003.30, 380,738.23 and 85,465.12

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Solution

The fourth proportional to 254,003.30, 380,738.23 and 85,465.12 is: 128,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,003.30 : 380,738.23 = 85,465.12 : x
  2. Step 2: Convert to fraction form
    254,003.30/380,738.23 = 85,465.12/x
  3. Step 3: Cross multiply
    254,003.30x = 380,738.23 × 85,465.12
  4. Step 4: Simplify right side
    254,003.30x = 32,539,837,350.03
  5. Step 5: Solve for x
    x = 32,539,837,350.03/254,003.30
  6. Step 6: Final answer
    x = 128,107.93

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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.