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Finding the Fourth Proportional to 70,714.68, 106,055.60 and 20,781.40

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Solution

The fourth proportional to 70,714.68, 106,055.60 and 20,781.40 is: 31,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,714.68 : 106,055.60 = 20,781.40 : x
  2. Step 2: Convert to fraction form
    70,714.68/106,055.60 = 20,781.40/x
  3. Step 3: Cross multiply
    70,714.68x = 106,055.60 × 20,781.40
  4. Step 4: Simplify right side
    70,714.68x = 2,203,983,845.84
  5. Step 5: Solve for x
    x = 2,203,983,845.84/70,714.68
  6. Step 6: Final answer
    x = 31,167.27

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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.