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Finding the Fourth Proportional to 106,311.40, 159,467.10 and 81,428.20

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Solution

The fourth proportional to 106,311.40, 159,467.10 and 81,428.20 is: 122,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,311.40 : 159,467.10 = 81,428.20 : x
  2. Step 2: Convert to fraction form
    106,311.40/159,467.10 = 81,428.20/x
  3. Step 3: Cross multiply
    106,311.40x = 159,467.10 × 81,428.20
  4. Step 4: Simplify right side
    106,311.40x = 12,985,118,912.22
  5. Step 5: Solve for x
    x = 12,985,118,912.22/106,311.40
  6. Step 6: Final answer
    x = 122,142.30

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1.5x scale

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.