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Finding the Fourth Proportional to 197,314.70, 295,972.05 and 72,704.30

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Solution

The fourth proportional to 197,314.70, 295,972.05 and 72,704.30 is: 109,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,314.70 : 295,972.05 = 72,704.30 : x
  2. Step 2: Convert to fraction form
    197,314.70/295,972.05 = 72,704.30/x
  3. Step 3: Cross multiply
    197,314.70x = 295,972.05 × 72,704.30
  4. Step 4: Simplify right side
    197,314.70x = 21,518,440,714.82
  5. Step 5: Solve for x
    x = 21,518,440,714.82/197,314.70
  6. Step 6: Final answer
    x = 109,056.45

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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.