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Finding the Fourth Proportional to 72,506.96, 100,059.75 and 40,675.82

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Solution

The fourth proportional to 72,506.96, 100,059.75 and 40,675.82 is: 56,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,506.96 : 100,059.75 = 40,675.82 : x
  2. Step 2: Convert to fraction form
    72,506.96/100,059.75 = 40,675.82/x
  3. Step 3: Cross multiply
    72,506.96x = 100,059.75 × 40,675.82
  4. Step 4: Simplify right side
    72,506.96x = 4,070,012,380.25
  5. Step 5: Solve for x
    x = 4,070,012,380.25/72,506.96
  6. Step 6: Final answer
    x = 56,132.71

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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.