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Finding the Fourth Proportional to 51,726, 71,381.88 and 28,174

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Solution

The fourth proportional to 51,726, 71,381.88 and 28,174 is: 38,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,726 : 71,381.88 = 28,174 : x
  2. Step 2: Convert to fraction form
    51,726/71,381.88 = 28,174/x
  3. Step 3: Cross multiply
    51,726x = 71,381.88 × 28,174
  4. Step 4: Simplify right side
    51,726x = 2,011,113,087.12
  5. Step 5: Solve for x
    x = 2,011,113,087.12/51,726
  6. Step 6: Final answer
    x = 38,880.12

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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.