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Finding the Fourth Proportional to 72,962, 100,687.56 and 39,428

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Solution

The fourth proportional to 72,962, 100,687.56 and 39,428 is: 54,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,962 : 100,687.56 = 39,428 : x
  2. Step 2: Convert to fraction form
    72,962/100,687.56 = 39,428/x
  3. Step 3: Cross multiply
    72,962x = 100,687.56 × 39,428
  4. Step 4: Simplify right side
    72,962x = 3,969,909,115.68
  5. Step 5: Solve for x
    x = 3,969,909,115.68/72,962
  6. Step 6: Final answer
    x = 54,410.64

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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.