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Finding the Fourth Proportional to 186,942.60, 257,978.97 and 115,293.96

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Solution

The fourth proportional to 186,942.60, 257,978.97 and 115,293.96 is: 159,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,942.60 : 257,978.97 = 115,293.96 : x
  2. Step 2: Convert to fraction form
    186,942.60/257,978.97 = 115,293.96/x
  3. Step 3: Cross multiply
    186,942.60x = 257,978.97 × 115,293.96
  4. Step 4: Simplify right side
    186,942.60x = 29,743,417,048.02
  5. Step 5: Solve for x
    x = 29,743,417,048.02/186,942.60
  6. Step 6: Final answer
    x = 159,104.54

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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.