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Finding the Fourth Proportional to 172,835.44, 259,253.16 and 54,516

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Solution

The fourth proportional to 172,835.44, 259,253.16 and 54,516 is: 81,774

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,835.44 : 259,253.16 = 54,516 : x
  2. Step 2: Convert to fraction form
    172,835.44/259,253.16 = 54,516/x
  3. Step 3: Cross multiply
    172,835.44x = 259,253.16 × 54,516
  4. Step 4: Simplify right side
    172,835.44x = 14,133,445,270.56
  5. Step 5: Solve for x
    x = 14,133,445,270.56/172,835.44
  6. Step 6: Final answer
    x = 81,774

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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.