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Finding the Fourth Proportional to 72,012.75, 99,361.64 and 41,780.54

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Solution

The fourth proportional to 72,012.75, 99,361.64 and 41,780.54 is: 57,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,012.75 : 99,361.64 = 41,780.54 : x
  2. Step 2: Convert to fraction form
    72,012.75/99,361.64 = 41,780.54/x
  3. Step 3: Cross multiply
    72,012.75x = 99,361.64 × 41,780.54
  4. Step 4: Simplify right side
    72,012.75x = 4,151,382,268.77
  5. Step 5: Solve for x
    x = 4,151,382,268.77/72,012.75
  6. Step 6: Final answer
    x = 57,647.88

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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.