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Finding the Fourth Proportional to 149,458.94, 206,251.64 and 81,474.42

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Solution

The fourth proportional to 149,458.94, 206,251.64 and 81,474.42 is: 112,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,458.94 : 206,251.64 = 81,474.42 : x
  2. Step 2: Convert to fraction form
    149,458.94/206,251.64 = 81,474.42/x
  3. Step 3: Cross multiply
    149,458.94x = 206,251.64 × 81,474.42
  4. Step 4: Simplify right side
    149,458.94x = 16,804,232,254.48
  5. Step 5: Solve for x
    x = 16,804,232,254.48/149,458.94
  6. Step 6: Final answer
    x = 112,433.77

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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.