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Finding the Fourth Proportional to 172,981.36, 259,470.48 and 54,652.68

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Solution

The fourth proportional to 172,981.36, 259,470.48 and 54,652.68 is: 81,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,981.36 : 259,470.48 = 54,652.68 : x
  2. Step 2: Convert to fraction form
    172,981.36/259,470.48 = 54,652.68/x
  3. Step 3: Cross multiply
    172,981.36x = 259,470.48 × 54,652.68
  4. Step 4: Simplify right side
    172,981.36x = 14,180,757,112.89
  5. Step 5: Solve for x
    x = 14,180,757,112.89/172,981.36
  6. Step 6: Final answer
    x = 81,978.53

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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.