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Finding the Fourth Proportional to 209,857.90, 289,595.44 and 114,362.54

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Solution

The fourth proportional to 209,857.90, 289,595.44 and 114,362.54 is: 157,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,857.90 : 289,595.44 = 114,362.54 : x
  2. Step 2: Convert to fraction form
    209,857.90/289,595.44 = 114,362.54/x
  3. Step 3: Cross multiply
    209,857.90x = 289,595.44 × 114,362.54
  4. Step 4: Simplify right side
    209,857.90x = 33,118,870,090.82
  5. Step 5: Solve for x
    x = 33,118,870,090.82/209,857.90
  6. Step 6: Final answer
    x = 157,815.69

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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.