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Finding the Fourth Proportional to 166,415.80, 249,105.30 and 161,231.80

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Solution

The fourth proportional to 166,415.80, 249,105.30 and 161,231.80 is: 241,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,415.80 : 249,105.30 = 161,231.80 : x
  2. Step 2: Convert to fraction form
    166,415.80/249,105.30 = 161,231.80/x
  3. Step 3: Cross multiply
    166,415.80x = 249,105.30 × 161,231.80
  4. Step 4: Simplify right side
    166,415.80x = 40,163,695,908.54
  5. Step 5: Solve for x
    x = 40,163,695,908.54/166,415.80
  6. Step 6: Final answer
    x = 241,345.45

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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.