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Finding the Fourth Proportional to 254,116.44, 381,209.79 and 85,684.95

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Solution

The fourth proportional to 254,116.44, 381,209.79 and 85,684.95 is: 128,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,116.44 : 381,209.79 = 85,684.95 : x
  2. Step 2: Convert to fraction form
    254,116.44/381,209.79 = 85,684.95/x
  3. Step 3: Cross multiply
    254,116.44x = 381,209.79 × 85,684.95
  4. Step 4: Simplify right side
    254,116.44x = 32,663,941,795.66
  5. Step 5: Solve for x
    x = 32,663,941,795.66/254,116.44
  6. Step 6: Final answer
    x = 128,539.27

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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.