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Finding the Fourth Proportional to 70,160, 105,258.24 and 20,912

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Solution

The fourth proportional to 70,160, 105,258.24 and 20,912 is: 31,373.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,160 : 105,258.24 = 20,912 : x
  2. Step 2: Convert to fraction form
    70,160/105,258.24 = 20,912/x
  3. Step 3: Cross multiply
    70,160x = 105,258.24 × 20,912
  4. Step 4: Simplify right side
    70,160x = 2,201,160,314.88
  5. Step 5: Solve for x
    x = 2,201,160,314.88/70,160
  6. Step 6: Final answer
    x = 31,373.44

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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.