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Finding the Fourth Proportional to 78,728.60, 118,093.80 and 19,564.40

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Solution

The fourth proportional to 78,728.60, 118,093.80 and 19,564.40 is: 29,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,728.60 : 118,093.80 = 19,564.40 : x
  2. Step 2: Convert to fraction form
    78,728.60/118,093.80 = 19,564.40/x
  3. Step 3: Cross multiply
    78,728.60x = 118,093.80 × 19,564.40
  4. Step 4: Simplify right side
    78,728.60x = 2,310,434,340.72
  5. Step 5: Solve for x
    x = 2,310,434,340.72/78,728.60
  6. Step 6: Final answer
    x = 29,346.82

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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.