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Finding the Fourth Proportional to 11,978,000.20, 17,967,000.30 and 4,785,977.80

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Solution

The fourth proportional to 11,978,000.20, 17,967,000.30 and 4,785,977.80 is: 7,178,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978,000.20 : 17,967,000.30 = 4,785,977.80 : x
  2. Step 2: Convert to fraction form
    11,978,000.20/17,967,000.30 = 4,785,977.80/x
  3. Step 3: Cross multiply
    11,978,000.20x = 17,967,000.30 × 4,785,977.80
  4. Step 4: Simplify right side
    11,978,000.20x = 85,989,664,568,393.34
  5. Step 5: Solve for x
    x = 85,989,664,568,393.34/11,978,000.20
  6. Step 6: Final answer
    x = 7,178,966.70

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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.