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Finding the Fourth Proportional to 207,909.78, 311,865.70 and 58,163.16

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Solution

The fourth proportional to 207,909.78, 311,865.70 and 58,163.16 is: 87,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,909.78 : 311,865.70 = 58,163.16 : x
  2. Step 2: Convert to fraction form
    207,909.78/311,865.70 = 58,163.16/x
  3. Step 3: Cross multiply
    207,909.78x = 311,865.70 × 58,163.16
  4. Step 4: Simplify right side
    207,909.78x = 18,139,094,607.61
  5. Step 5: Solve for x
    x = 18,139,094,607.61/207,909.78
  6. Step 6: Final answer
    x = 87,245.03

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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.