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Finding the Fourth Proportional to 149,076.34, 205,730.84 and 85,426.44

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Solution

The fourth proportional to 149,076.34, 205,730.84 and 85,426.44 is: 117,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,076.34 : 205,730.84 = 85,426.44 : x
  2. Step 2: Convert to fraction form
    149,076.34/205,730.84 = 85,426.44/x
  3. Step 3: Cross multiply
    149,076.34x = 205,730.84 × 85,426.44
  4. Step 4: Simplify right side
    149,076.34x = 17,574,852,832.28
  5. Step 5: Solve for x
    x = 17,574,852,832.28/149,076.34
  6. Step 6: Final answer
    x = 117,891.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.