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Finding the Fourth Proportional to 166,453.80, 249,743.56 and 99,940.30

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Solution

The fourth proportional to 166,453.80, 249,743.56 and 99,940.30 is: 149,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,453.80 : 249,743.56 = 99,940.30 : x
  2. Step 2: Convert to fraction form
    166,453.80/249,743.56 = 99,940.30/x
  3. Step 3: Cross multiply
    166,453.80x = 249,743.56 × 99,940.30
  4. Step 4: Simplify right side
    166,453.80x = 24,959,446,309.47
  5. Step 5: Solve for x
    x = 24,959,446,309.47/166,453.80
  6. Step 6: Final answer
    x = 149,948.19

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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.