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Finding the Fourth Proportional to 65,922, 90,971.88 and 35,706.60

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Solution

The fourth proportional to 65,922, 90,971.88 and 35,706.60 is: 49,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,922 : 90,971.88 = 35,706.60 : x
  2. Step 2: Convert to fraction form
    65,922/90,971.88 = 35,706.60/x
  3. Step 3: Cross multiply
    65,922x = 90,971.88 × 35,706.60
  4. Step 4: Simplify right side
    65,922x = 3,248,296,530.41
  5. Step 5: Solve for x
    x = 3,248,296,530.41/65,922
  6. Step 6: Final answer
    x = 49,274.85

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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.