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Finding the Fourth Proportional to 65,302.64, 97,940.07 and 20,917.49

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Solution

The fourth proportional to 65,302.64, 97,940.07 and 20,917.49 is: 31,371.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,302.64 : 97,940.07 = 20,917.49 : x
  2. Step 2: Convert to fraction form
    65,302.64/97,940.07 = 20,917.49/x
  3. Step 3: Cross multiply
    65,302.64x = 97,940.07 × 20,917.49
  4. Step 4: Simplify right side
    65,302.64x = 2,048,660,434.82
  5. Step 5: Solve for x
    x = 2,048,660,434.82/65,302.64
  6. Step 6: Final answer
    x = 31,371.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.