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Finding the Fourth Proportional to 70,657.50, 105,986.50 and 21,409.50

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Solution

The fourth proportional to 70,657.50, 105,986.50 and 21,409.50 is: 32,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657.50 : 105,986.50 = 21,409.50 : x
  2. Step 2: Convert to fraction form
    70,657.50/105,986.50 = 21,409.50/x
  3. Step 3: Cross multiply
    70,657.50x = 105,986.50 × 21,409.50
  4. Step 4: Simplify right side
    70,657.50x = 2,269,117,971.75
  5. Step 5: Solve for x
    x = 2,269,117,971.75/70,657.50
  6. Step 6: Final answer
    x = 32,114.33

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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.