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Finding the Fourth Proportional to 51,958, 71,702.04 and 28,406

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Solution

The fourth proportional to 51,958, 71,702.04 and 28,406 is: 39,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,958 : 71,702.04 = 28,406 : x
  2. Step 2: Convert to fraction form
    51,958/71,702.04 = 28,406/x
  3. Step 3: Cross multiply
    51,958x = 71,702.04 × 28,406
  4. Step 4: Simplify right side
    51,958x = 2,036,768,148.24
  5. Step 5: Solve for x
    x = 2,036,768,148.24/51,958
  6. Step 6: Final answer
    x = 39,200.28

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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.