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Finding the Fourth Proportional to 166,978.20, 250,467.30 and 148,315.80

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Solution

The fourth proportional to 166,978.20, 250,467.30 and 148,315.80 is: 222,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,978.20 : 250,467.30 = 148,315.80 : x
  2. Step 2: Convert to fraction form
    166,978.20/250,467.30 = 148,315.80/x
  3. Step 3: Cross multiply
    166,978.20x = 250,467.30 × 148,315.80
  4. Step 4: Simplify right side
    166,978.20x = 37,148,257,973.34
  5. Step 5: Solve for x
    x = 37,148,257,973.34/166,978.20
  6. Step 6: Final answer
    x = 222,473.70

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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.