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Finding the Fourth Proportional to 172,415, 258,622.56 and 54,095.60

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Solution

The fourth proportional to 172,415, 258,622.56 and 54,095.60 is: 81,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,415 : 258,622.56 = 54,095.60 : x
  2. Step 2: Convert to fraction form
    172,415/258,622.56 = 54,095.60/x
  3. Step 3: Cross multiply
    172,415x = 258,622.56 × 54,095.60
  4. Step 4: Simplify right side
    172,415x = 13,990,342,556.74
  5. Step 5: Solve for x
    x = 13,990,342,556.74/172,415
  6. Step 6: Final answer
    x = 81,143.42

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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.