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Finding the Fourth Proportional to 53,745, 80,617.50 and 20,913

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Solution

The fourth proportional to 53,745, 80,617.50 and 20,913 is: 31,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,745 : 80,617.50 = 20,913 : x
  2. Step 2: Convert to fraction form
    53,745/80,617.50 = 20,913/x
  3. Step 3: Cross multiply
    53,745x = 80,617.50 × 20,913
  4. Step 4: Simplify right side
    53,745x = 1,685,953,777.50
  5. Step 5: Solve for x
    x = 1,685,953,777.50/53,745
  6. Step 6: Final answer
    x = 31,369.50

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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.