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Finding the Fourth Proportional to 65,357, 90,192.74 and 35,549

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Solution

The fourth proportional to 65,357, 90,192.74 and 35,549 is: 49,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,357 : 90,192.74 = 35,549 : x
  2. Step 2: Convert to fraction form
    65,357/90,192.74 = 35,549/x
  3. Step 3: Cross multiply
    65,357x = 90,192.74 × 35,549
  4. Step 4: Simplify right side
    65,357x = 3,206,261,714.26
  5. Step 5: Solve for x
    x = 3,206,261,714.26/65,357
  6. Step 6: Final answer
    x = 49,057.66

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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.