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Finding the Fourth Proportional to 77,992.84, 117,011.94 and 28,072.04

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Solution

The fourth proportional to 77,992.84, 117,011.94 and 28,072.04 is: 42,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,992.84 : 117,011.94 = 28,072.04 : x
  2. Step 2: Convert to fraction form
    77,992.84/117,011.94 = 28,072.04/x
  3. Step 3: Cross multiply
    77,992.84x = 117,011.94 × 28,072.04
  4. Step 4: Simplify right side
    77,992.84x = 3,284,763,860.16
  5. Step 5: Solve for x
    x = 3,284,763,860.16/77,992.84
  6. Step 6: Final answer
    x = 42,116.22

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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.