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Finding the Fourth Proportional to 65,608, 90,539.36 and 35,800

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Solution

The fourth proportional to 65,608, 90,539.36 and 35,800 is: 49,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,608 : 90,539.36 = 35,800 : x
  2. Step 2: Convert to fraction form
    65,608/90,539.36 = 35,800/x
  3. Step 3: Cross multiply
    65,608x = 90,539.36 × 35,800
  4. Step 4: Simplify right side
    65,608x = 3,241,309,088
  5. Step 5: Solve for x
    x = 3,241,309,088/65,608
  6. Step 6: Final answer
    x = 49,404.17

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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.