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Finding the Fourth Proportional to 140,374.64, 210,324.36 and 84,854

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Solution

The fourth proportional to 140,374.64, 210,324.36 and 84,854 is: 127,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,374.64 : 210,324.36 = 84,854 : x
  2. Step 2: Convert to fraction form
    140,374.64/210,324.36 = 84,854/x
  3. Step 3: Cross multiply
    140,374.64x = 210,324.36 × 84,854
  4. Step 4: Simplify right side
    140,374.64x = 17,846,863,243.44
  5. Step 5: Solve for x
    x = 17,846,863,243.44/140,374.64
  6. Step 6: Final answer
    x = 127,137.37

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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.