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Finding the Fourth Proportional to 140,722.64, 210,863.64 and 84,424.40

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Solution

The fourth proportional to 140,722.64, 210,863.64 and 84,424.40 is: 126,504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,722.64 : 210,863.64 = 84,424.40 : x
  2. Step 2: Convert to fraction form
    140,722.64/210,863.64 = 84,424.40/x
  3. Step 3: Cross multiply
    140,722.64x = 210,863.64 × 84,424.40
  4. Step 4: Simplify right side
    140,722.64x = 17,802,036,288.82
  5. Step 5: Solve for x
    x = 17,802,036,288.82/140,722.64
  6. Step 6: Final answer
    x = 126,504.42

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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.