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Finding the Fourth Proportional to 77,978.70, 116,858.70 and 68,574.60

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Solution

The fourth proportional to 77,978.70, 116,858.70 and 68,574.60 is: 102,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,978.70 : 116,858.70 = 68,574.60 : x
  2. Step 2: Convert to fraction form
    77,978.70/116,858.70 = 68,574.60/x
  3. Step 3: Cross multiply
    77,978.70x = 116,858.70 × 68,574.60
  4. Step 4: Simplify right side
    77,978.70x = 8,013,538,609.02
  5. Step 5: Solve for x
    x = 8,013,538,609.02/77,978.70
  6. Step 6: Final answer
    x = 102,765.74

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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.