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Finding the Fourth Proportional to 78,137.19, 117,049.46 and 35,959.48

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Solution

The fourth proportional to 78,137.19, 117,049.46 and 35,959.48 is: 53,867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,137.19 : 117,049.46 = 35,959.48 : x
  2. Step 2: Convert to fraction form
    78,137.19/117,049.46 = 35,959.48/x
  3. Step 3: Cross multiply
    78,137.19x = 117,049.46 × 35,959.48
  4. Step 4: Simplify right side
    78,137.19x = 4,209,037,243.46
  5. Step 5: Solve for x
    x = 4,209,037,243.46/78,137.19
  6. Step 6: Final answer
    x = 53,867.27

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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.