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Finding the Fourth Proportional to 51,978.69, 77,977.65 and 16,448.94

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Solution

The fourth proportional to 51,978.69, 77,977.65 and 16,448.94 is: 24,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.69 : 77,977.65 = 16,448.94 : x
  2. Step 2: Convert to fraction form
    51,978.69/77,977.65 = 16,448.94/x
  3. Step 3: Cross multiply
    51,978.69x = 77,977.65 × 16,448.94
  4. Step 4: Simplify right side
    51,978.69x = 1,282,649,747.87
  5. Step 5: Solve for x
    x = 1,282,649,747.87/51,978.69
  6. Step 6: Final answer
    x = 24,676.45

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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.