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Finding the Fourth Proportional to 78,147.30, 117,219.32 and 18,983.28

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Solution

The fourth proportional to 78,147.30, 117,219.32 and 18,983.28 is: 28,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,147.30 : 117,219.32 = 18,983.28 : x
  2. Step 2: Convert to fraction form
    78,147.30/117,219.32 = 18,983.28/x
  3. Step 3: Cross multiply
    78,147.30x = 117,219.32 × 18,983.28
  4. Step 4: Simplify right side
    78,147.30x = 2,225,207,172.97
  5. Step 5: Solve for x
    x = 2,225,207,172.97/78,147.30
  6. Step 6: Final answer
    x = 28,474.52

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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.