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Finding the Fourth Proportional to 172,857.02, 259,109.12 and 109,723.80

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Solution

The fourth proportional to 172,857.02, 259,109.12 and 109,723.80 is: 164,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,857.02 : 259,109.12 = 109,723.80 : x
  2. Step 2: Convert to fraction form
    172,857.02/259,109.12 = 109,723.80/x
  3. Step 3: Cross multiply
    172,857.02x = 259,109.12 × 109,723.80
  4. Step 4: Simplify right side
    172,857.02x = 28,430,437,261.06
  5. Step 5: Solve for x
    x = 28,430,437,261.06/172,857.02
  6. Step 6: Final answer
    x = 164,473.72

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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.