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Finding the Fourth Proportional to 72,714.20, 109,071.30 and 70,964.60

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Solution

The fourth proportional to 72,714.20, 109,071.30 and 70,964.60 is: 106,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,714.20 : 109,071.30 = 70,964.60 : x
  2. Step 2: Convert to fraction form
    72,714.20/109,071.30 = 70,964.60/x
  3. Step 3: Cross multiply
    72,714.20x = 109,071.30 × 70,964.60
  4. Step 4: Simplify right side
    72,714.20x = 7,740,201,175.98
  5. Step 5: Solve for x
    x = 7,740,201,175.98/72,714.20
  6. Step 6: Final answer
    x = 106,446.90

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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.