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Finding the Fourth Proportional to 68,415.40, 102,620.85 and 30,975.48

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Solution

The fourth proportional to 68,415.40, 102,620.85 and 30,975.48 is: 46,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,415.40 : 102,620.85 = 30,975.48 : x
  2. Step 2: Convert to fraction form
    68,415.40/102,620.85 = 30,975.48/x
  3. Step 3: Cross multiply
    68,415.40x = 102,620.85 × 30,975.48
  4. Step 4: Simplify right side
    68,415.40x = 3,178,730,086.76
  5. Step 5: Solve for x
    x = 3,178,730,086.76/68,415.40
  6. Step 6: Final answer
    x = 46,462.20

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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.