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Finding the Fourth Proportional to 65,878.94, 90,912.91 and 35,664.24

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Solution

The fourth proportional to 65,878.94, 90,912.91 and 35,664.24 is: 49,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,878.94 : 90,912.91 = 35,664.24 : x
  2. Step 2: Convert to fraction form
    65,878.94/90,912.91 = 35,664.24/x
  3. Step 3: Cross multiply
    65,878.94x = 90,912.91 × 35,664.24
  4. Step 4: Simplify right side
    65,878.94x = 3,242,339,841.34
  5. Step 5: Solve for x
    x = 3,242,339,841.34/65,878.94
  6. Step 6: Final answer
    x = 49,216.64

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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.