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Finding the Fourth Proportional to 70,207, 105,310.50 and 20,959

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Solution

The fourth proportional to 70,207, 105,310.50 and 20,959 is: 31,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,207 : 105,310.50 = 20,959 : x
  2. Step 2: Convert to fraction form
    70,207/105,310.50 = 20,959/x
  3. Step 3: Cross multiply
    70,207x = 105,310.50 × 20,959
  4. Step 4: Simplify right side
    70,207x = 2,207,202,769.50
  5. Step 5: Solve for x
    x = 2,207,202,769.50/70,207
  6. Step 6: Final answer
    x = 31,438.50

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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.