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Finding the Fourth Proportional to 78,419.40, 117,629.10 and 47,238.60

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Solution

The fourth proportional to 78,419.40, 117,629.10 and 47,238.60 is: 70,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,419.40 : 117,629.10 = 47,238.60 : x
  2. Step 2: Convert to fraction form
    78,419.40/117,629.10 = 47,238.60/x
  3. Step 3: Cross multiply
    78,419.40x = 117,629.10 × 47,238.60
  4. Step 4: Simplify right side
    78,419.40x = 5,556,634,003.26
  5. Step 5: Solve for x
    x = 5,556,634,003.26/78,419.40
  6. Step 6: Final answer
    x = 70,857.90

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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.