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Finding the Fourth Proportional to 77,786, 116,696.28 and 28,538

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Solution

The fourth proportional to 77,786, 116,696.28 and 28,538 is: 42,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,786 : 116,696.28 = 28,538 : x
  2. Step 2: Convert to fraction form
    77,786/116,696.28 = 28,538/x
  3. Step 3: Cross multiply
    77,786x = 116,696.28 × 28,538
  4. Step 4: Simplify right side
    77,786x = 3,330,278,438.64
  5. Step 5: Solve for x
    x = 3,330,278,438.64/77,786
  6. Step 6: Final answer
    x = 42,813.34

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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.