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Finding the Fourth Proportional to 70,825, 106,242.36 and 23,440

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Solution

The fourth proportional to 70,825, 106,242.36 and 23,440 is: 35,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,825 : 106,242.36 = 23,440 : x
  2. Step 2: Convert to fraction form
    70,825/106,242.36 = 23,440/x
  3. Step 3: Cross multiply
    70,825x = 106,242.36 × 23,440
  4. Step 4: Simplify right side
    70,825x = 2,490,320,918.40
  5. Step 5: Solve for x
    x = 2,490,320,918.40/70,825
  6. Step 6: Final answer
    x = 35,161.61

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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.