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Finding the Fourth Proportional to 51,978, 77,971.86 and 16,908.24

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Solution

The fourth proportional to 51,978, 77,971.86 and 16,908.24 is: 25,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978 : 77,971.86 = 16,908.24 : x
  2. Step 2: Convert to fraction form
    51,978/77,971.86 = 16,908.24/x
  3. Step 3: Cross multiply
    51,978x = 77,971.86 × 16,908.24
  4. Step 4: Simplify right side
    51,978x = 1,318,366,922.13
  5. Step 5: Solve for x
    x = 1,318,366,922.13/51,978
  6. Step 6: Final answer
    x = 25,363.94

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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.