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Finding the Fourth Proportional to 62,200, 93,314.58 and 20,647

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Solution

The fourth proportional to 62,200, 93,314.58 and 20,647 is: 30,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,200 : 93,314.58 = 20,647 : x
  2. Step 2: Convert to fraction form
    62,200/93,314.58 = 20,647/x
  3. Step 3: Cross multiply
    62,200x = 93,314.58 × 20,647
  4. Step 4: Simplify right side
    62,200x = 1,926,666,133.26
  5. Step 5: Solve for x
    x = 1,926,666,133.26/62,200
  6. Step 6: Final answer
    x = 30,975.34

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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.