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Finding the Fourth Proportional to 65,978, 91,055.40 and 36,175.76

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Solution

The fourth proportional to 65,978, 91,055.40 and 36,175.76 is: 49,925.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,978 : 91,055.40 = 36,175.76 : x
  2. Step 2: Convert to fraction form
    65,978/91,055.40 = 36,175.76/x
  3. Step 3: Cross multiply
    65,978x = 91,055.40 × 36,175.76
  4. Step 4: Simplify right side
    65,978x = 3,293,998,297.10
  5. Step 5: Solve for x
    x = 3,293,998,297.10/65,978
  6. Step 6: Final answer
    x = 49,925.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.