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Finding the Fourth Proportional to 172,857.51, 259,286.31 and 54,538.11

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Solution

The fourth proportional to 172,857.51, 259,286.31 and 54,538.11 is: 81,807.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,857.51 : 259,286.31 = 54,538.11 : x
  2. Step 2: Convert to fraction form
    172,857.51/259,286.31 = 54,538.11/x
  3. Step 3: Cross multiply
    172,857.51x = 259,286.31 × 54,538.11
  4. Step 4: Simplify right side
    172,857.51x = 14,140,985,296.27
  5. Step 5: Solve for x
    x = 14,140,985,296.27/172,857.51
  6. Step 6: Final answer
    x = 81,807.18

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1.5x scale

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.