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Finding the Fourth Proportional to 207,564, 311,346 and 67,322.63

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Solution

The fourth proportional to 207,564, 311,346 and 67,322.63 is: 100,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,564 : 311,346 = 67,322.63 : x
  2. Step 2: Convert to fraction form
    207,564/311,346 = 67,322.63/x
  3. Step 3: Cross multiply
    207,564x = 311,346 × 67,322.63
  4. Step 4: Simplify right side
    207,564x = 20,960,630,003.25
  5. Step 5: Solve for x
    x = 20,960,630,003.25/207,564
  6. Step 6: Final answer
    x = 100,983.94

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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.