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Finding the Fourth Proportional to 78,568.32, 117,843.84 and 23,168.64

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Solution

The fourth proportional to 78,568.32, 117,843.84 and 23,168.64 is: 34,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,568.32 : 117,843.84 = 23,168.64 : x
  2. Step 2: Convert to fraction form
    78,568.32/117,843.84 = 23,168.64/x
  3. Step 3: Cross multiply
    78,568.32x = 117,843.84 × 23,168.64
  4. Step 4: Simplify right side
    78,568.32x = 2,730,281,505.18
  5. Step 5: Solve for x
    x = 2,730,281,505.18/78,568.32
  6. Step 6: Final answer
    x = 34,750.41

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1.5x scale

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.