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Finding the Fourth Proportional to 154,509.69, 231,914.34 and 74,604.03

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Solution

The fourth proportional to 154,509.69, 231,914.34 and 74,604.03 is: 111,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,509.69 : 231,914.34 = 74,604.03 : x
  2. Step 2: Convert to fraction form
    154,509.69/231,914.34 = 74,604.03/x
  3. Step 3: Cross multiply
    154,509.69x = 231,914.34 × 74,604.03
  4. Step 4: Simplify right side
    154,509.69x = 17,301,744,378.79
  5. Step 5: Solve for x
    x = 17,301,744,378.79/154,509.69
  6. Step 6: Final answer
    x = 111,978.38

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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.