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Finding the Fourth Proportional to 207,756.84, 311,635.26 and 49,985.30

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Solution

The fourth proportional to 207,756.84, 311,635.26 and 49,985.30 is: 74,977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,756.84 : 311,635.26 = 49,985.30 : x
  2. Step 2: Convert to fraction form
    207,756.84/311,635.26 = 49,985.30/x
  3. Step 3: Cross multiply
    207,756.84x = 311,635.26 × 49,985.30
  4. Step 4: Simplify right side
    207,756.84x = 15,577,180,403.50
  5. Step 5: Solve for x
    x = 15,577,180,403.50/207,756.84
  6. Step 6: Final answer
    x = 74,977.94

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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.