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Finding the Fourth Proportional to 65,317, 90,138.10 and 35,509.64

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Solution

The fourth proportional to 65,317, 90,138.10 and 35,509.64 is: 49,003.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,317 : 90,138.10 = 35,509.64 : x
  2. Step 2: Convert to fraction form
    65,317/90,138.10 = 35,509.64/x
  3. Step 3: Cross multiply
    65,317x = 90,138.10 × 35,509.64
  4. Step 4: Simplify right side
    65,317x = 3,200,771,481.28
  5. Step 5: Solve for x
    x = 3,200,771,481.28/65,317
  6. Step 6: Final answer
    x = 49,003.65

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1.5x scale

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.