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Finding the Fourth Proportional to 149,194.78, 205,893.10 and 81,216.16

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Solution

The fourth proportional to 149,194.78, 205,893.10 and 81,216.16 is: 112,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,194.78 : 205,893.10 = 81,216.16 : x
  2. Step 2: Convert to fraction form
    149,194.78/205,893.10 = 81,216.16/x
  3. Step 3: Cross multiply
    149,194.78x = 205,893.10 × 81,216.16
  4. Step 4: Simplify right side
    149,194.78x = 16,721,846,952.50
  5. Step 5: Solve for x
    x = 16,721,846,952.50/149,194.78
  6. Step 6: Final answer
    x = 112,080.64

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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.