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Finding the Fourth Proportional to 74,678.40, 111,944.70 and 66,805.20

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Solution

The fourth proportional to 74,678.40, 111,944.70 and 66,805.20 is: 100,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,678.40 : 111,944.70 = 66,805.20 : x
  2. Step 2: Convert to fraction form
    74,678.40/111,944.70 = 66,805.20/x
  3. Step 3: Cross multiply
    74,678.40x = 111,944.70 × 66,805.20
  4. Step 4: Simplify right side
    74,678.40x = 7,478,488,072.44
  5. Step 5: Solve for x
    x = 7,478,488,072.44/74,678.40
  6. Step 6: Final answer
    x = 100,142.59

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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.