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Finding the Fourth Proportional to 172,808.76, 259,009.46 and 77,927.84

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Solution

The fourth proportional to 172,808.76, 259,009.46 and 77,927.84 is: 116,799.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,808.76 : 259,009.46 = 77,927.84 : x
  2. Step 2: Convert to fraction form
    172,808.76/259,009.46 = 77,927.84/x
  3. Step 3: Cross multiply
    172,808.76x = 259,009.46 × 77,927.84
  4. Step 4: Simplify right side
    172,808.76x = 20,184,047,757.37
  5. Step 5: Solve for x
    x = 20,184,047,757.37/172,808.76
  6. Step 6: Final answer
    x = 116,799.91

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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.