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Finding the Fourth Proportional to 78,014.40, 116,978.40 and 33,633.60

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Solution

The fourth proportional to 78,014.40, 116,978.40 and 33,633.60 is: 50,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,014.40 : 116,978.40 = 33,633.60 : x
  2. Step 2: Convert to fraction form
    78,014.40/116,978.40 = 33,633.60/x
  3. Step 3: Cross multiply
    78,014.40x = 116,978.40 × 33,633.60
  4. Step 4: Simplify right side
    78,014.40x = 3,934,404,714.24
  5. Step 5: Solve for x
    x = 3,934,404,714.24/78,014.40
  6. Step 6: Final answer
    x = 50,431.78

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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.