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Finding the Fourth Proportional to 207,702.63, 311,583.92 and 65,499.57

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Solution

The fourth proportional to 207,702.63, 311,583.92 and 65,499.57 is: 98,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,702.63 : 311,583.92 = 65,499.57 : x
  2. Step 2: Convert to fraction form
    207,702.63/311,583.92 = 65,499.57/x
  3. Step 3: Cross multiply
    207,702.63x = 311,583.92 × 65,499.57
  4. Step 4: Simplify right side
    207,702.63x = 20,408,612,451.42
  5. Step 5: Solve for x
    x = 20,408,612,451.42/207,702.63
  6. Step 6: Final answer
    x = 98,258.81

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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.