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Finding the Fourth Proportional to 68,003.10, 102,004.65 and 47,007.90

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Solution

The fourth proportional to 68,003.10, 102,004.65 and 47,007.90 is: 70,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,003.10 : 102,004.65 = 47,007.90 : x
  2. Step 2: Convert to fraction form
    68,003.10/102,004.65 = 47,007.90/x
  3. Step 3: Cross multiply
    68,003.10x = 102,004.65 × 47,007.90
  4. Step 4: Simplify right side
    68,003.10x = 4,795,024,386.74
  5. Step 5: Solve for x
    x = 4,795,024,386.74/68,003.10
  6. Step 6: Final answer
    x = 70,511.85

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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.