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Finding the Fourth Proportional to 130,896, 196,344 and 32,400

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Solution

The fourth proportional to 130,896, 196,344 and 32,400 is: 48,600

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,896 : 196,344 = 32,400 : x
  2. Step 2: Convert to fraction form
    130,896/196,344 = 32,400/x
  3. Step 3: Cross multiply
    130,896x = 196,344 × 32,400
  4. Step 4: Simplify right side
    130,896x = 6,361,545,600
  5. Step 5: Solve for x
    x = 6,361,545,600/130,896
  6. Step 6: Final answer
    x = 48,600

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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.