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Finding the Fourth Proportional to 70,848, 106,289.28 and 21,600

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Solution

The fourth proportional to 70,848, 106,289.28 and 21,600 is: 32,405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,848 : 106,289.28 = 21,600 : x
  2. Step 2: Convert to fraction form
    70,848/106,289.28 = 21,600/x
  3. Step 3: Cross multiply
    70,848x = 106,289.28 × 21,600
  4. Step 4: Simplify right side
    70,848x = 2,295,848,448
  5. Step 5: Solve for x
    x = 2,295,848,448/70,848
  6. Step 6: Final answer
    x = 32,405.27

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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.