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Finding the Fourth Proportional to 149,406.88, 206,178.78 and 81,424.42

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Solution

The fourth proportional to 149,406.88, 206,178.78 and 81,424.42 is: 112,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,406.88 : 206,178.78 = 81,424.42 : x
  2. Step 2: Convert to fraction form
    149,406.88/206,178.78 = 81,424.42/x
  3. Step 3: Cross multiply
    149,406.88x = 206,178.78 × 81,424.42
  4. Step 4: Simplify right side
    149,406.88x = 16,787,987,577.81
  5. Step 5: Solve for x
    x = 16,787,987,577.81/149,406.88
  6. Step 6: Final answer
    x = 112,364.22

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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.