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Finding the Fourth Proportional to 68,107.76, 102,160.61 and 30,641.37

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Solution

The fourth proportional to 68,107.76, 102,160.61 and 30,641.37 is: 45,961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,107.76 : 102,160.61 = 30,641.37 : x
  2. Step 2: Convert to fraction form
    68,107.76/102,160.61 = 30,641.37/x
  3. Step 3: Cross multiply
    68,107.76x = 102,160.61 × 30,641.37
  4. Step 4: Simplify right side
    68,107.76x = 3,130,341,510.14
  5. Step 5: Solve for x
    x = 3,130,341,510.14/68,107.76
  6. Step 6: Final answer
    x = 45,961.60

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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.