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Finding the Fourth Proportional to 154,172.16, 231,174.72 and 70,992

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Solution

The fourth proportional to 154,172.16, 231,174.72 and 70,992 is: 106,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,172.16 : 231,174.72 = 70,992 : x
  2. Step 2: Convert to fraction form
    154,172.16/231,174.72 = 70,992/x
  3. Step 3: Cross multiply
    154,172.16x = 231,174.72 × 70,992
  4. Step 4: Simplify right side
    154,172.16x = 16,411,555,722.24
  5. Step 5: Solve for x
    x = 16,411,555,722.24/154,172.16
  6. Step 6: Final answer
    x = 106,449.54

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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.