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Finding the Fourth Proportional to 207,967.72, 311,977.50 and 67,688.68

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Solution

The fourth proportional to 207,967.72, 311,977.50 and 67,688.68 is: 101,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,967.72 : 311,977.50 = 67,688.68 : x
  2. Step 2: Convert to fraction form
    207,967.72/311,977.50 = 67,688.68/x
  3. Step 3: Cross multiply
    207,967.72x = 311,977.50 × 67,688.68
  4. Step 4: Simplify right side
    207,967.72x = 21,117,345,164.70
  5. Step 5: Solve for x
    x = 21,117,345,164.70/207,967.72
  6. Step 6: Final answer
    x = 101,541.46

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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.