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Finding the Fourth Proportional to 186,876.78, 257,850.54 and 118,869

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Solution

The fourth proportional to 186,876.78, 257,850.54 and 118,869 is: 164,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,876.78 : 257,850.54 = 118,869 : x
  2. Step 2: Convert to fraction form
    186,876.78/257,850.54 = 118,869/x
  3. Step 3: Cross multiply
    186,876.78x = 257,850.54 × 118,869
  4. Step 4: Simplify right side
    186,876.78x = 30,650,435,839.26
  5. Step 5: Solve for x
    x = 30,650,435,839.26/186,876.78
  6. Step 6: Final answer
    x = 164,014.15

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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.