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Finding the Fourth Proportional to 154,122.53, 231,183.80 and 43,314.53

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Solution

The fourth proportional to 154,122.53, 231,183.80 and 43,314.53 is: 64,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,122.53 : 231,183.80 = 43,314.53 : x
  2. Step 2: Convert to fraction form
    154,122.53/231,183.80 = 43,314.53/x
  3. Step 3: Cross multiply
    154,122.53x = 231,183.80 × 43,314.53
  4. Step 4: Simplify right side
    154,122.53x = 10,013,617,640.61
  5. Step 5: Solve for x
    x = 10,013,617,640.61/154,122.53
  6. Step 6: Final answer
    x = 64,971.80

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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.