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Finding the Fourth Proportional to 78,858.30, 118,093.05 and 52,419.90

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Solution

The fourth proportional to 78,858.30, 118,093.05 and 52,419.90 is: 78,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,858.30 : 118,093.05 = 52,419.90 : x
  2. Step 2: Convert to fraction form
    78,858.30/118,093.05 = 52,419.90/x
  3. Step 3: Cross multiply
    78,858.30x = 118,093.05 × 52,419.90
  4. Step 4: Simplify right side
    78,858.30x = 6,190,425,871.70
  5. Step 5: Solve for x
    x = 6,190,425,871.70/78,858.30
  6. Step 6: Final answer
    x = 78,500.63

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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.