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Finding the Fourth Proportional to 65,392.92, 90,284.22 and 40,257

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Solution

The fourth proportional to 65,392.92, 90,284.22 and 40,257 is: 55,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,392.92 : 90,284.22 = 40,257 : x
  2. Step 2: Convert to fraction form
    65,392.92/90,284.22 = 40,257/x
  3. Step 3: Cross multiply
    65,392.92x = 90,284.22 × 40,257
  4. Step 4: Simplify right side
    65,392.92x = 3,634,571,844.54
  5. Step 5: Solve for x
    x = 3,634,571,844.54/65,392.92
  6. Step 6: Final answer
    x = 55,580.51

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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.