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Finding the Fourth Proportional to 186,851.80, 279,969.90 and 107,828.20

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Solution

The fourth proportional to 186,851.80, 279,969.90 and 107,828.20 is: 161,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,851.80 : 279,969.90 = 107,828.20 : x
  2. Step 2: Convert to fraction form
    186,851.80/279,969.90 = 107,828.20/x
  3. Step 3: Cross multiply
    186,851.80x = 279,969.90 × 107,828.20
  4. Step 4: Simplify right side
    186,851.80x = 30,188,650,371.18
  5. Step 5: Solve for x
    x = 30,188,650,371.18/186,851.80
  6. Step 6: Final answer
    x = 161,564.68

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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.