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Finding the Fourth Proportional to 73,872, 110,868.48 and 51,729.84

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Solution

The fourth proportional to 73,872, 110,868.48 and 51,729.84 is: 77,637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,872 : 110,868.48 = 51,729.84 : x
  2. Step 2: Convert to fraction form
    73,872/110,868.48 = 51,729.84/x
  3. Step 3: Cross multiply
    73,872x = 110,868.48 × 51,729.84
  4. Step 4: Simplify right side
    73,872x = 5,735,208,731.44
  5. Step 5: Solve for x
    x = 5,735,208,731.44/73,872
  6. Step 6: Final answer
    x = 77,637.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.