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Finding the Fourth Proportional to 218,730.43, 301,826.41 and 123,254.11

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Solution

The fourth proportional to 218,730.43, 301,826.41 and 123,254.11 is: 170,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,730.43 : 301,826.41 = 123,254.11 : x
  2. Step 2: Convert to fraction form
    218,730.43/301,826.41 = 123,254.11/x
  3. Step 3: Cross multiply
    218,730.43x = 301,826.41 × 123,254.11
  4. Step 4: Simplify right side
    218,730.43x = 37,201,345,539.05
  5. Step 5: Solve for x
    x = 37,201,345,539.05/218,730.43
  6. Step 6: Final answer
    x = 170,078.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.