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Finding the Fourth Proportional to 65,242.75, 90,035 and 35,434.75

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Solution

The fourth proportional to 65,242.75, 90,035 and 35,434.75 is: 48,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242.75 : 90,035 = 35,434.75 : x
  2. Step 2: Convert to fraction form
    65,242.75/90,035 = 35,434.75/x
  3. Step 3: Cross multiply
    65,242.75x = 90,035 × 35,434.75
  4. Step 4: Simplify right side
    65,242.75x = 3,190,367,716.25
  5. Step 5: Solve for x
    x = 3,190,367,716.25/65,242.75
  6. Step 6: Final answer
    x = 48,899.96

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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.