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Finding the Fourth Proportional to 130,720, 196,080 and 32,224

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Solution

The fourth proportional to 130,720, 196,080 and 32,224 is: 48,336

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,720 : 196,080 = 32,224 : x
  2. Step 2: Convert to fraction form
    130,720/196,080 = 32,224/x
  3. Step 3: Cross multiply
    130,720x = 196,080 × 32,224
  4. Step 4: Simplify right side
    130,720x = 6,318,481,920
  5. Step 5: Solve for x
    x = 6,318,481,920/130,720
  6. Step 6: Final answer
    x = 48,336

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