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Finding the Fourth Proportional to 166,449, 249,706.32 and 54,121.98

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Solution

The fourth proportional to 166,449, 249,706.32 and 54,121.98 is: 81,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,449 : 249,706.32 = 54,121.98 : x
  2. Step 2: Convert to fraction form
    166,449/249,706.32 = 54,121.98/x
  3. Step 3: Cross multiply
    166,449x = 249,706.32 × 54,121.98
  4. Step 4: Simplify right side
    166,449x = 13,514,600,456.91
  5. Step 5: Solve for x
    x = 13,514,600,456.91/166,449
  6. Step 6: Final answer
    x = 81,193.64

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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.