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Finding the Fourth Proportional to 70,144, 105,190.40 and 23,383.04

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Solution

The fourth proportional to 70,144, 105,190.40 and 23,383.04 is: 35,066.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,144 : 105,190.40 = 23,383.04 : x
  2. Step 2: Convert to fraction form
    70,144/105,190.40 = 23,383.04/x
  3. Step 3: Cross multiply
    70,144x = 105,190.40 × 23,383.04
  4. Step 4: Simplify right side
    70,144x = 2,459,671,330.82
  5. Step 5: Solve for x
    x = 2,459,671,330.82/70,144
  6. Step 6: Final answer
    x = 35,066.03

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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.