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Finding the Fourth Proportional to 254,003.80, 380,738.98 and 85,465.62

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Solution

The fourth proportional to 254,003.80, 380,738.98 and 85,465.62 is: 128,108.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,003.80 : 380,738.98 = 85,465.62 : x
  2. Step 2: Convert to fraction form
    254,003.80/380,738.98 = 85,465.62/x
  3. Step 3: Cross multiply
    254,003.80x = 380,738.98 × 85,465.62
  4. Step 4: Simplify right side
    254,003.80x = 32,540,092,983.87
  5. Step 5: Solve for x
    x = 32,540,092,983.87/254,003.80
  6. Step 6: Final answer
    x = 128,108.69

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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.