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Finding the Fourth Proportional to 77,696.62, 116,518.43 and 30,307.97

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Solution

The fourth proportional to 77,696.62, 116,518.43 and 30,307.97 is: 45,451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,696.62 : 116,518.43 = 30,307.97 : x
  2. Step 2: Convert to fraction form
    77,696.62/116,518.43 = 30,307.97/x
  3. Step 3: Cross multiply
    77,696.62x = 116,518.43 × 30,307.97
  4. Step 4: Simplify right side
    77,696.62x = 3,531,437,447.95
  5. Step 5: Solve for x
    x = 3,531,437,447.95/77,696.62
  6. Step 6: Final answer
    x = 45,451.62

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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.