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Finding the Fourth Proportional to 154,141.50, 231,212.26 and 43,333.50

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Solution

The fourth proportional to 154,141.50, 231,212.26 and 43,333.50 is: 65,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,141.50 : 231,212.26 = 43,333.50 : x
  2. Step 2: Convert to fraction form
    154,141.50/231,212.26 = 43,333.50/x
  3. Step 3: Cross multiply
    154,141.50x = 231,212.26 × 43,333.50
  4. Step 4: Simplify right side
    154,141.50x = 10,019,236,468.71
  5. Step 5: Solve for x
    x = 10,019,236,468.71/154,141.50
  6. Step 6: Final answer
    x = 65,000.25

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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.