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Finding the Fourth Proportional to 78,147.29, 117,219.31 and 18,983.27

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Solution

The fourth proportional to 78,147.29, 117,219.31 and 18,983.27 is: 28,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,147.29 : 117,219.31 = 18,983.27 : x
  2. Step 2: Convert to fraction form
    78,147.29/117,219.31 = 18,983.27/x
  3. Step 3: Cross multiply
    78,147.29x = 117,219.31 × 18,983.27
  4. Step 4: Simplify right side
    78,147.29x = 2,225,205,810.94
  5. Step 5: Solve for x
    x = 2,225,205,810.94/78,147.29
  6. Step 6: Final answer
    x = 28,474.51

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1.5x scale

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.