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Finding the Fourth Proportional to 65,284, 90,092.49 and 35,476

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Solution

The fourth proportional to 65,284, 90,092.49 and 35,476 is: 48,957.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,284 : 90,092.49 = 35,476 : x
  2. Step 2: Convert to fraction form
    65,284/90,092.49 = 35,476/x
  3. Step 3: Cross multiply
    65,284x = 90,092.49 × 35,476
  4. Step 4: Simplify right side
    65,284x = 3,196,121,175.24
  5. Step 5: Solve for x
    x = 3,196,121,175.24/65,284
  6. Step 6: Final answer
    x = 48,957.19

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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.