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Finding the Fourth Proportional to 70,209, 105,313.50 and 20,961

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Solution

The fourth proportional to 70,209, 105,313.50 and 20,961 is: 31,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,209 : 105,313.50 = 20,961 : x
  2. Step 2: Convert to fraction form
    70,209/105,313.50 = 20,961/x
  3. Step 3: Cross multiply
    70,209x = 105,313.50 × 20,961
  4. Step 4: Simplify right side
    70,209x = 2,207,476,273.50
  5. Step 5: Solve for x
    x = 2,207,476,273.50/70,209
  6. Step 6: Final answer
    x = 31,441.50

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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.