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Finding the Fourth Proportional to 691,436, 1,037,154 and 166,124

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Solution

The fourth proportional to 691,436, 1,037,154 and 166,124 is: 249,186

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,436 : 1,037,154 = 166,124 : x
  2. Step 2: Convert to fraction form
    691,436/1,037,154 = 166,124/x
  3. Step 3: Cross multiply
    691,436x = 1,037,154 × 166,124
  4. Step 4: Simplify right side
    691,436x = 172,296,171,096
  5. Step 5: Solve for x
    x = 172,296,171,096/691,436
  6. Step 6: Final answer
    x = 249,186

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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.