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Finding the Fourth Proportional to 65,486.64, 90,367.26 and 38,623.02

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Solution

The fourth proportional to 65,486.64, 90,367.26 and 38,623.02 is: 53,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,486.64 : 90,367.26 = 38,623.02 : x
  2. Step 2: Convert to fraction form
    65,486.64/90,367.26 = 38,623.02/x
  3. Step 3: Cross multiply
    65,486.64x = 90,367.26 × 38,623.02
  4. Step 4: Simplify right side
    65,486.64x = 3,490,256,490.33
  5. Step 5: Solve for x
    x = 3,490,256,490.33/65,486.64
  6. Step 6: Final answer
    x = 53,297.23

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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.