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Finding the Fourth Proportional to 70,171.92, 105,223.76 and 23,409

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Solution

The fourth proportional to 70,171.92, 105,223.76 and 23,409 is: 35,102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,171.92 : 105,223.76 = 23,409 : x
  2. Step 2: Convert to fraction form
    70,171.92/105,223.76 = 23,409/x
  3. Step 3: Cross multiply
    70,171.92x = 105,223.76 × 23,409
  4. Step 4: Simplify right side
    70,171.92x = 2,463,182,997.84
  5. Step 5: Solve for x
    x = 2,463,182,997.84/70,171.92
  6. Step 6: Final answer
    x = 35,102.12

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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.