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Finding the Fourth Proportional to 154,661.54, 231,942.90 and 49,455.50

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Solution

The fourth proportional to 154,661.54, 231,942.90 and 49,455.50 is: 74,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,661.54 : 231,942.90 = 49,455.50 : x
  2. Step 2: Convert to fraction form
    154,661.54/231,942.90 = 49,455.50/x
  3. Step 3: Cross multiply
    154,661.54x = 231,942.90 × 49,455.50
  4. Step 4: Simplify right side
    154,661.54x = 11,470,852,090.95
  5. Step 5: Solve for x
    x = 11,470,852,090.95/154,661.54
  6. Step 6: Final answer
    x = 74,167.45

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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.