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Finding the Fourth Proportional to 186,906.42, 257,930.79 and 102,023.49

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Solution

The fourth proportional to 186,906.42, 257,930.79 and 102,023.49 is: 140,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,906.42 : 257,930.79 = 102,023.49 : x
  2. Step 2: Convert to fraction form
    186,906.42/257,930.79 = 102,023.49/x
  3. Step 3: Cross multiply
    186,906.42x = 257,930.79 × 102,023.49
  4. Step 4: Simplify right side
    186,906.42x = 26,314,999,374.26
  5. Step 5: Solve for x
    x = 26,314,999,374.26/186,906.42
  6. Step 6: Final answer
    x = 140,792.38

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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.