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Finding the Fourth Proportional to 201,992, 302,988.16 and 77,333.12

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Solution

The fourth proportional to 201,992, 302,988.16 and 77,333.12 is: 115,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,992 : 302,988.16 = 77,333.12 : x
  2. Step 2: Convert to fraction form
    201,992/302,988.16 = 77,333.12/x
  3. Step 3: Cross multiply
    201,992x = 302,988.16 × 77,333.12
  4. Step 4: Simplify right side
    201,992x = 23,431,019,735.86
  5. Step 5: Solve for x
    x = 23,431,019,735.86/201,992
  6. Step 6: Final answer
    x = 115,999.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.