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Finding the Fourth Proportional to 207,591.20, 311,386.80 and 166,119.20

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Solution

The fourth proportional to 207,591.20, 311,386.80 and 166,119.20 is: 249,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,591.20 : 311,386.80 = 166,119.20 : x
  2. Step 2: Convert to fraction form
    207,591.20/311,386.80 = 166,119.20/x
  3. Step 3: Cross multiply
    207,591.20x = 311,386.80 × 166,119.20
  4. Step 4: Simplify right side
    207,591.20x = 51,727,326,106.56
  5. Step 5: Solve for x
    x = 51,727,326,106.56/207,591.20
  6. Step 6: Final answer
    x = 249,178.80

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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.