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Finding the Fourth Proportional to 68,042.61, 102,028.95 and 30,570.57

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Solution

The fourth proportional to 68,042.61, 102,028.95 and 30,570.57 is: 45,840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,042.61 : 102,028.95 = 30,570.57 : x
  2. Step 2: Convert to fraction form
    68,042.61/102,028.95 = 30,570.57/x
  3. Step 3: Cross multiply
    68,042.61x = 102,028.95 × 30,570.57
  4. Step 4: Simplify right side
    68,042.61x = 3,119,083,158.00
  5. Step 5: Solve for x
    x = 3,119,083,158.00/68,042.61
  6. Step 6: Final answer
    x = 45,840.15

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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.