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Finding the Fourth Proportional to 186,651.60, 279,977.40 and 120,166.80

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Solution

The fourth proportional to 186,651.60, 279,977.40 and 120,166.80 is: 180,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,651.60 : 279,977.40 = 120,166.80 : x
  2. Step 2: Convert to fraction form
    186,651.60/279,977.40 = 120,166.80/x
  3. Step 3: Cross multiply
    186,651.60x = 279,977.40 × 120,166.80
  4. Step 4: Simplify right side
    186,651.60x = 33,643,988,230.32
  5. Step 5: Solve for x
    x = 33,643,988,230.32/186,651.60
  6. Step 6: Final answer
    x = 180,250.20

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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.