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Finding the Fourth Proportional to 65,378, 90,222.28 and 35,570.64

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Solution

The fourth proportional to 65,378, 90,222.28 and 35,570.64 is: 49,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,378 : 90,222.28 = 35,570.64 : x
  2. Step 2: Convert to fraction form
    65,378/90,222.28 = 35,570.64/x
  3. Step 3: Cross multiply
    65,378x = 90,222.28 × 35,570.64
  4. Step 4: Simplify right side
    65,378x = 3,209,264,241.86
  5. Step 5: Solve for x
    x = 3,209,264,241.86/65,378
  6. Step 6: Final answer
    x = 49,087.83

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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.