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Finding the Fourth Proportional to 80,646, 111,291.48 and 45,318

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Solution

The fourth proportional to 80,646, 111,291.48 and 45,318 is: 62,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,646 : 111,291.48 = 45,318 : x
  2. Step 2: Convert to fraction form
    80,646/111,291.48 = 45,318/x
  3. Step 3: Cross multiply
    80,646x = 111,291.48 × 45,318
  4. Step 4: Simplify right side
    80,646x = 5,043,507,290.64
  5. Step 5: Solve for x
    x = 5,043,507,290.64/80,646
  6. Step 6: Final answer
    x = 62,538.84

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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.