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Finding the Fourth Proportional to 213,191.46, 319,680.09 and 70,986.47

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Solution

The fourth proportional to 213,191.46, 319,680.09 and 70,986.47 is: 106,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,191.46 : 319,680.09 = 70,986.47 : x
  2. Step 2: Convert to fraction form
    213,191.46/319,680.09 = 70,986.47/x
  3. Step 3: Cross multiply
    213,191.46x = 319,680.09 × 70,986.47
  4. Step 4: Simplify right side
    213,191.46x = 22,692,959,519.98
  5. Step 5: Solve for x
    x = 22,692,959,519.98/213,191.46
  6. Step 6: Final answer
    x = 106,444.04

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1.5x scale

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.