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Finding the Fourth Proportional to 78,415.60, 117,630.44 and 22,256.56

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Solution

The fourth proportional to 78,415.60, 117,630.44 and 22,256.56 is: 33,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,415.60 : 117,630.44 = 22,256.56 : x
  2. Step 2: Convert to fraction form
    78,415.60/117,630.44 = 22,256.56/x
  3. Step 3: Cross multiply
    78,415.60x = 117,630.44 × 22,256.56
  4. Step 4: Simplify right side
    78,415.60x = 2,618,048,945.69
  5. Step 5: Solve for x
    x = 2,618,048,945.69/78,415.60
  6. Step 6: Final answer
    x = 33,386.84

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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.