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Finding the Fourth Proportional to 208,082.70, 312,124.05 and 74,967.30

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Solution

The fourth proportional to 208,082.70, 312,124.05 and 74,967.30 is: 112,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,082.70 : 312,124.05 = 74,967.30 : x
  2. Step 2: Convert to fraction form
    208,082.70/312,124.05 = 74,967.30/x
  3. Step 3: Cross multiply
    208,082.70x = 312,124.05 × 74,967.30
  4. Step 4: Simplify right side
    208,082.70x = 23,399,097,293.57
  5. Step 5: Solve for x
    x = 23,399,097,293.57/208,082.70
  6. Step 6: Final answer
    x = 112,450.95

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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.