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Finding the Fourth Proportional to 77,497, 116,262.78 and 28,249

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Solution

The fourth proportional to 77,497, 116,262.78 and 28,249 is: 42,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,497 : 116,262.78 = 28,249 : x
  2. Step 2: Convert to fraction form
    77,497/116,262.78 = 28,249/x
  3. Step 3: Cross multiply
    77,497x = 116,262.78 × 28,249
  4. Step 4: Simplify right side
    77,497x = 3,284,307,272.22
  5. Step 5: Solve for x
    x = 3,284,307,272.22/77,497
  6. Step 6: Final answer
    x = 42,379.80

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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.