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Finding the Fourth Proportional to 207,495.15, 311,200.20 and 57,697.80

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Solution

The fourth proportional to 207,495.15, 311,200.20 and 57,697.80 is: 86,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,495.15 : 311,200.20 = 57,697.80 : x
  2. Step 2: Convert to fraction form
    207,495.15/311,200.20 = 57,697.80/x
  3. Step 3: Cross multiply
    207,495.15x = 311,200.20 × 57,697.80
  4. Step 4: Simplify right side
    207,495.15x = 17,955,566,899.56
  5. Step 5: Solve for x
    x = 17,955,566,899.56/207,495.15
  6. Step 6: Final answer
    x = 86,534.88

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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.