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Finding the Fourth Proportional to 166,148, 249,222 and 49,412

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Solution

The fourth proportional to 166,148, 249,222 and 49,412 is: 74,118

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,148 : 249,222 = 49,412 : x
  2. Step 2: Convert to fraction form
    166,148/249,222 = 49,412/x
  3. Step 3: Cross multiply
    166,148x = 249,222 × 49,412
  4. Step 4: Simplify right side
    166,148x = 12,314,557,464
  5. Step 5: Solve for x
    x = 12,314,557,464/166,148
  6. Step 6: Final answer
    x = 74,118

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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.