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Finding the Fourth Proportional to 166,043.40, 249,101.55 and 81,843.90

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Solution

The fourth proportional to 166,043.40, 249,101.55 and 81,843.90 is: 122,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,043.40 : 249,101.55 = 81,843.90 : x
  2. Step 2: Convert to fraction form
    166,043.40/249,101.55 = 81,843.90/x
  3. Step 3: Cross multiply
    166,043.40x = 249,101.55 × 81,843.90
  4. Step 4: Simplify right side
    166,043.40x = 20,387,442,348.05
  5. Step 5: Solve for x
    x = 20,387,442,348.05/166,043.40
  6. Step 6: Final answer
    x = 122,783.82

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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.