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Finding the Fourth Proportional to 78,917.22, 118,336.95 and 65,775.78

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Solution

The fourth proportional to 78,917.22, 118,336.95 and 65,775.78 is: 98,631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,917.22 : 118,336.95 = 65,775.78 : x
  2. Step 2: Convert to fraction form
    78,917.22/118,336.95 = 65,775.78/x
  3. Step 3: Cross multiply
    78,917.22x = 118,336.95 × 65,775.78
  4. Step 4: Simplify right side
    78,917.22x = 7,783,705,189.07
  5. Step 5: Solve for x
    x = 7,783,705,189.07/78,917.22
  6. Step 6: Final answer
    x = 98,631.26

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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.