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Finding the Fourth Proportional to 229,062.92, 343,676.22 and 139,288.28

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Solution

The fourth proportional to 229,062.92, 343,676.22 and 139,288.28 is: 208,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,062.92 : 343,676.22 = 139,288.28 : x
  2. Step 2: Convert to fraction form
    229,062.92/343,676.22 = 139,288.28/x
  3. Step 3: Cross multiply
    229,062.92x = 343,676.22 × 139,288.28
  4. Step 4: Simplify right side
    229,062.92x = 47,870,069,560.70
  5. Step 5: Solve for x
    x = 47,870,069,560.70/229,062.92
  6. Step 6: Final answer
    x = 208,982.19

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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.