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Finding the Fourth Proportional to 207,916.76, 311,913.62 and 65,797.76

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Solution

The fourth proportional to 207,916.76, 311,913.62 and 65,797.76 is: 98,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,916.76 : 311,913.62 = 65,797.76 : x
  2. Step 2: Convert to fraction form
    207,916.76/311,913.62 = 65,797.76/x
  3. Step 3: Cross multiply
    207,916.76x = 311,913.62 × 65,797.76
  4. Step 4: Simplify right side
    207,916.76x = 20,523,217,509.49
  5. Step 5: Solve for x
    x = 20,523,217,509.49/207,916.76
  6. Step 6: Final answer
    x = 98,708.82

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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.