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Finding the Fourth Proportional to 68,570.01, 102,818.04 and 31,109.65

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Solution

The fourth proportional to 68,570.01, 102,818.04 and 31,109.65 is: 46,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,570.01 : 102,818.04 = 31,109.65 : x
  2. Step 2: Convert to fraction form
    68,570.01/102,818.04 = 31,109.65/x
  3. Step 3: Cross multiply
    68,570.01x = 102,818.04 × 31,109.65
  4. Step 4: Simplify right side
    68,570.01x = 3,198,632,825.49
  5. Step 5: Solve for x
    x = 3,198,632,825.49/68,570.01
  6. Step 6: Final answer
    x = 46,647.69

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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.