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Finding the Fourth Proportional to 72,996, 100,734.48 and 39,462

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Solution

The fourth proportional to 72,996, 100,734.48 and 39,462 is: 54,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,996 : 100,734.48 = 39,462 : x
  2. Step 2: Convert to fraction form
    72,996/100,734.48 = 39,462/x
  3. Step 3: Cross multiply
    72,996x = 100,734.48 × 39,462
  4. Step 4: Simplify right side
    72,996x = 3,975,184,049.76
  5. Step 5: Solve for x
    x = 3,975,184,049.76/72,996
  6. Step 6: Final answer
    x = 54,457.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.