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Finding the Fourth Proportional to 172,808.25, 259,008.72 and 77,927.34

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Solution

The fourth proportional to 172,808.25, 259,008.72 and 77,927.34 is: 116,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,808.25 : 259,008.72 = 77,927.34 : x
  2. Step 2: Convert to fraction form
    172,808.25/259,008.72 = 77,927.34/x
  3. Step 3: Cross multiply
    172,808.25x = 259,008.72 × 77,927.34
  4. Step 4: Simplify right side
    172,808.25x = 20,183,860,586.40
  5. Step 5: Solve for x
    x = 20,183,860,586.40/172,808.25
  6. Step 6: Final answer
    x = 116,799.17

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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.