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Finding the Fourth Proportional to 65,340, 90,169.20 and 35,532

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Solution

The fourth proportional to 65,340, 90,169.20 and 35,532 is: 49,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,340 : 90,169.20 = 35,532 : x
  2. Step 2: Convert to fraction form
    65,340/90,169.20 = 35,532/x
  3. Step 3: Cross multiply
    65,340x = 90,169.20 × 35,532
  4. Step 4: Simplify right side
    65,340x = 3,203,892,014.40
  5. Step 5: Solve for x
    x = 3,203,892,014.40/65,340
  6. Step 6: Final answer
    x = 49,034.16

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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.