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Finding the Fourth Proportional to 172,946.21, 259,426.27 and 54,617.59

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Solution

The fourth proportional to 172,946.21, 259,426.27 and 54,617.59 is: 81,928.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,946.21 : 259,426.27 = 54,617.59 : x
  2. Step 2: Convert to fraction form
    172,946.21/259,426.27 = 54,617.59/x
  3. Step 3: Cross multiply
    172,946.21x = 259,426.27 × 54,617.59
  4. Step 4: Simplify right side
    172,946.21x = 14,169,237,889.03
  5. Step 5: Solve for x
    x = 14,169,237,889.03/172,946.21
  6. Step 6: Final answer
    x = 81,928.58

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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.