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Finding the Fourth Proportional to 213,109.80, 319,609.20 and 63,314.88

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Solution

The fourth proportional to 213,109.80, 319,609.20 and 63,314.88 is: 94,955.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,109.80 : 319,609.20 = 63,314.88 : x
  2. Step 2: Convert to fraction form
    213,109.80/319,609.20 = 63,314.88/x
  3. Step 3: Cross multiply
    213,109.80x = 319,609.20 × 63,314.88
  4. Step 4: Simplify right side
    213,109.80x = 20,236,018,144.90
  5. Step 5: Solve for x
    x = 20,236,018,144.90/213,109.80
  6. Step 6: Final answer
    x = 94,955.83

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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.