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Finding the Fourth Proportional to 68,089.56, 102,047.85 and 30,609.60

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Solution

The fourth proportional to 68,089.56, 102,047.85 and 30,609.60 is: 45,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,089.56 : 102,047.85 = 30,609.60 : x
  2. Step 2: Convert to fraction form
    68,089.56/102,047.85 = 30,609.60/x
  3. Step 3: Cross multiply
    68,089.56x = 102,047.85 × 30,609.60
  4. Step 4: Simplify right side
    68,089.56x = 3,123,643,869.36
  5. Step 5: Solve for x
    x = 3,123,643,869.36/68,089.56
  6. Step 6: Final answer
    x = 45,875.52

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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.