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Finding the Fourth Proportional to 70,827.12, 106,215.92 and 20,893.96

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Solution

The fourth proportional to 70,827.12, 106,215.92 and 20,893.96 is: 31,333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,827.12 : 106,215.92 = 20,893.96 : x
  2. Step 2: Convert to fraction form
    70,827.12/106,215.92 = 20,893.96/x
  3. Step 3: Cross multiply
    70,827.12x = 106,215.92 × 20,893.96
  4. Step 4: Simplify right side
    70,827.12x = 2,219,271,079.37
  5. Step 5: Solve for x
    x = 2,219,271,079.37/70,827.12
  6. Step 6: Final answer
    x = 31,333.64

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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.