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Finding the Fourth Proportional to 65,256, 90,045.64 and 38,392.60

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Solution

The fourth proportional to 65,256, 90,045.64 and 38,392.60 is: 52,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,256 : 90,045.64 = 38,392.60 : x
  2. Step 2: Convert to fraction form
    65,256/90,045.64 = 38,392.60/x
  3. Step 3: Cross multiply
    65,256x = 90,045.64 × 38,392.60
  4. Step 4: Simplify right side
    65,256x = 3,457,086,238.26
  5. Step 5: Solve for x
    x = 3,457,086,238.26/65,256
  6. Step 6: Final answer
    x = 52,977.29

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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.