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Finding the Fourth Proportional to 77,396.30, 115,945.40 and 65,680.46

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Solution

The fourth proportional to 77,396.30, 115,945.40 and 65,680.46 is: 98,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,396.30 : 115,945.40 = 65,680.46 : x
  2. Step 2: Convert to fraction form
    77,396.30/115,945.40 = 65,680.46/x
  3. Step 3: Cross multiply
    77,396.30x = 115,945.40 × 65,680.46
  4. Step 4: Simplify right side
    77,396.30x = 7,615,347,206.88
  5. Step 5: Solve for x
    x = 7,615,347,206.88/77,396.30
  6. Step 6: Final answer
    x = 98,394.20

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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.