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Finding the Fourth Proportional to 51,879, 77,693.80 and 29,625

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Solution

The fourth proportional to 51,879, 77,693.80 and 29,625 is: 44,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,879 : 77,693.80 = 29,625 : x
  2. Step 2: Convert to fraction form
    51,879/77,693.80 = 29,625/x
  3. Step 3: Cross multiply
    51,879x = 77,693.80 × 29,625
  4. Step 4: Simplify right side
    51,879x = 2,301,678,825
  5. Step 5: Solve for x
    x = 2,301,678,825/51,879
  6. Step 6: Final answer
    x = 44,366.29

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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.