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Finding the Fourth Proportional to 65,305, 90,121.62 and 35,497

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Solution

The fourth proportional to 65,305, 90,121.62 and 35,497 is: 48,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,305 : 90,121.62 = 35,497 : x
  2. Step 2: Convert to fraction form
    65,305/90,121.62 = 35,497/x
  3. Step 3: Cross multiply
    65,305x = 90,121.62 × 35,497
  4. Step 4: Simplify right side
    65,305x = 3,199,047,145.14
  5. Step 5: Solve for x
    x = 3,199,047,145.14/65,305
  6. Step 6: Final answer
    x = 48,986.25

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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.