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Finding the Fourth Proportional to 68,042.68, 102,028.82 and 30,570.71

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Solution

The fourth proportional to 68,042.68, 102,028.82 and 30,570.71 is: 45,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,042.68 : 102,028.82 = 30,570.71 : x
  2. Step 2: Convert to fraction form
    68,042.68/102,028.82 = 30,570.71/x
  3. Step 3: Cross multiply
    68,042.68x = 102,028.82 × 30,570.71
  4. Step 4: Simplify right side
    68,042.68x = 3,119,092,804.86
  5. Step 5: Solve for x
    x = 3,119,092,804.86/68,042.68
  6. Step 6: Final answer
    x = 45,840.24

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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.