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Finding the Fourth Proportional to 72,581.75, 100,167.75 and 40,320.05

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Solution

The fourth proportional to 72,581.75, 100,167.75 and 40,320.05 is: 55,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,581.75 : 100,167.75 = 40,320.05 : x
  2. Step 2: Convert to fraction form
    72,581.75/100,167.75 = 40,320.05/x
  3. Step 3: Cross multiply
    72,581.75x = 100,167.75 × 40,320.05
  4. Step 4: Simplify right side
    72,581.75x = 4,038,768,187.55
  5. Step 5: Solve for x
    x = 4,038,768,187.55/72,581.75
  6. Step 6: Final answer
    x = 55,644.41

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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.