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Finding the Fourth Proportional to 172,558.54, 258,880.74 and 137,153.44

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Solution

The fourth proportional to 172,558.54, 258,880.74 and 137,153.44 is: 205,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,558.54 : 258,880.74 = 137,153.44 : x
  2. Step 2: Convert to fraction form
    172,558.54/258,880.74 = 137,153.44/x
  3. Step 3: Cross multiply
    172,558.54x = 258,880.74 × 137,153.44
  4. Step 4: Simplify right side
    172,558.54x = 35,506,384,040.75
  5. Step 5: Solve for x
    x = 35,506,384,040.75/172,558.54
  6. Step 6: Final answer
    x = 205,764.28

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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.