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Finding the Fourth Proportional to 213,042.65, 319,675.76 and 80,014.73

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Solution

The fourth proportional to 213,042.65, 319,675.76 and 80,014.73 is: 120,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,042.65 : 319,675.76 = 80,014.73 : x
  2. Step 2: Convert to fraction form
    213,042.65/319,675.76 = 80,014.73/x
  3. Step 3: Cross multiply
    213,042.65x = 319,675.76 × 80,014.73
  4. Step 4: Simplify right side
    213,042.65x = 25,578,769,223.87
  5. Step 5: Solve for x
    x = 25,578,769,223.87/213,042.65
  6. Step 6: Final answer
    x = 120,064.08

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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.