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Finding the Fourth Proportional to 65,653.88, 90,571.38 and 47,741

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Solution

The fourth proportional to 65,653.88, 90,571.38 and 47,741 is: 65,860.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,653.88 : 90,571.38 = 47,741 : x
  2. Step 2: Convert to fraction form
    65,653.88/90,571.38 = 47,741/x
  3. Step 3: Cross multiply
    65,653.88x = 90,571.38 × 47,741
  4. Step 4: Simplify right side
    65,653.88x = 4,323,968,252.58
  5. Step 5: Solve for x
    x = 4,323,968,252.58/65,653.88
  6. Step 6: Final answer
    x = 65,860.06

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1.5x scale

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.