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Finding the Fourth Proportional to 68,077.80, 102,116.70 and 47,082.60

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Solution

The fourth proportional to 68,077.80, 102,116.70 and 47,082.60 is: 70,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,077.80 : 102,116.70 = 47,082.60 : x
  2. Step 2: Convert to fraction form
    68,077.80/102,116.70 = 47,082.60/x
  3. Step 3: Cross multiply
    68,077.80x = 102,116.70 × 47,082.60
  4. Step 4: Simplify right side
    68,077.80x = 4,807,919,739.42
  5. Step 5: Solve for x
    x = 4,807,919,739.42/68,077.80
  6. Step 6: Final answer
    x = 70,623.90

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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.