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Finding the Fourth Proportional to 77,980.28, 116,986.20 and 25,375.64

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Solution

The fourth proportional to 77,980.28, 116,986.20 and 25,375.64 is: 38,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,980.28 : 116,986.20 = 25,375.64 : x
  2. Step 2: Convert to fraction form
    77,980.28/116,986.20 = 25,375.64/x
  3. Step 3: Cross multiply
    77,980.28x = 116,986.20 × 25,375.64
  4. Step 4: Simplify right side
    77,980.28x = 2,968,599,696.17
  5. Step 5: Solve for x
    x = 2,968,599,696.17/77,980.28
  6. Step 6: Final answer
    x = 38,068.59

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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.