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Finding the Fourth Proportional to 172,855.02, 259,106.12 and 109,721.80

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Solution

The fourth proportional to 172,855.02, 259,106.12 and 109,721.80 is: 164,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,855.02 : 259,106.12 = 109,721.80 : x
  2. Step 2: Convert to fraction form
    172,855.02/259,106.12 = 109,721.80/x
  3. Step 3: Cross multiply
    172,855.02x = 259,106.12 × 109,721.80
  4. Step 4: Simplify right side
    172,855.02x = 28,429,589,877.42
  5. Step 5: Solve for x
    x = 28,429,589,877.42/172,855.02
  6. Step 6: Final answer
    x = 164,470.72

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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.