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Finding the Fourth Proportional to 65,402.28, 90,192.42 and 41,486.40

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Solution

The fourth proportional to 65,402.28, 90,192.42 and 41,486.40 is: 57,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,402.28 : 90,192.42 = 41,486.40 : x
  2. Step 2: Convert to fraction form
    65,402.28/90,192.42 = 41,486.40/x
  3. Step 3: Cross multiply
    65,402.28x = 90,192.42 × 41,486.40
  4. Step 4: Simplify right side
    65,402.28x = 3,741,758,813.09
  5. Step 5: Solve for x
    x = 3,741,758,813.09/65,402.28
  6. Step 6: Final answer
    x = 57,211.44

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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.