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Finding the Fourth Proportional to 81,880.32, 122,820.48 and 26,480.64

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Solution

The fourth proportional to 81,880.32, 122,820.48 and 26,480.64 is: 39,720.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,880.32 : 122,820.48 = 26,480.64 : x
  2. Step 2: Convert to fraction form
    81,880.32/122,820.48 = 26,480.64/x
  3. Step 3: Cross multiply
    81,880.32x = 122,820.48 × 26,480.64
  4. Step 4: Simplify right side
    81,880.32x = 3,252,364,915.51
  5. Step 5: Solve for x
    x = 3,252,364,915.51/81,880.32
  6. Step 6: Final answer
    x = 39,720.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.