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Finding the Fourth Proportional to 72,745.20, 100,382.76 and 40,907.76

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Solution

The fourth proportional to 72,745.20, 100,382.76 and 40,907.76 is: 56,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,745.20 : 100,382.76 = 40,907.76 : x
  2. Step 2: Convert to fraction form
    72,745.20/100,382.76 = 40,907.76/x
  3. Step 3: Cross multiply
    72,745.20x = 100,382.76 × 40,907.76
  4. Step 4: Simplify right side
    72,745.20x = 4,106,433,854.22
  5. Step 5: Solve for x
    x = 4,106,433,854.22/72,745.20
  6. Step 6: Final answer
    x = 56,449.55

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1.5x scale

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.