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Finding the Fourth Proportional to 172,571.32, 258,868.14 and 54,247.24

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Solution

The fourth proportional to 172,571.32, 258,868.14 and 54,247.24 is: 81,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,571.32 : 258,868.14 = 54,247.24 : x
  2. Step 2: Convert to fraction form
    172,571.32/258,868.14 = 54,247.24/x
  3. Step 3: Cross multiply
    172,571.32x = 258,868.14 × 54,247.24
  4. Step 4: Simplify right side
    172,571.32x = 14,042,881,268.34
  5. Step 5: Solve for x
    x = 14,042,881,268.34/172,571.32
  6. Step 6: Final answer
    x = 81,374.36

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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.