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Finding the Fourth Proportional to 210,630.40, 316,039.20 and 110,766.40

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Solution

The fourth proportional to 210,630.40, 316,039.20 and 110,766.40 is: 166,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,630.40 : 316,039.20 = 110,766.40 : x
  2. Step 2: Convert to fraction form
    210,630.40/316,039.20 = 110,766.40/x
  3. Step 3: Cross multiply
    210,630.40x = 316,039.20 × 110,766.40
  4. Step 4: Simplify right side
    210,630.40x = 35,006,524,442.88
  5. Step 5: Solve for x
    x = 35,006,524,442.88/210,630.40
  6. Step 6: Final answer
    x = 166,198.82

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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.