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Finding the Fourth Proportional to 73,064, 100,828.32 and 39,530

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Solution

The fourth proportional to 73,064, 100,828.32 and 39,530 is: 54,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,064 : 100,828.32 = 39,530 : x
  2. Step 2: Convert to fraction form
    73,064/100,828.32 = 39,530/x
  3. Step 3: Cross multiply
    73,064x = 100,828.32 × 39,530
  4. Step 4: Simplify right side
    73,064x = 3,985,743,489.60
  5. Step 5: Solve for x
    x = 3,985,743,489.60/73,064
  6. Step 6: Final answer
    x = 54,551.40

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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.