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Finding the Fourth Proportional to 106,712.25, 160,055.10 and 66,734.79

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Solution

The fourth proportional to 106,712.25, 160,055.10 and 66,734.79 is: 100,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,712.25 : 160,055.10 = 66,734.79 : x
  2. Step 2: Convert to fraction form
    106,712.25/160,055.10 = 66,734.79/x
  3. Step 3: Cross multiply
    106,712.25x = 160,055.10 × 66,734.79
  4. Step 4: Simplify right side
    106,712.25x = 10,681,243,486.93
  5. Step 5: Solve for x
    x = 10,681,243,486.93/106,712.25
  6. Step 6: Final answer
    x = 100,093.88

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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.