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Finding the Fourth Proportional to 207,936.80, 311,386.80 and 166,464.80

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Solution

The fourth proportional to 207,936.80, 311,386.80 and 166,464.80 is: 249,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,936.80 : 311,386.80 = 166,464.80 : x
  2. Step 2: Convert to fraction form
    207,936.80/311,386.80 = 166,464.80/x
  3. Step 3: Cross multiply
    207,936.80x = 311,386.80 × 166,464.80
  4. Step 4: Simplify right side
    207,936.80x = 51,834,941,384.64
  5. Step 5: Solve for x
    x = 51,834,941,384.64/207,936.80
  6. Step 6: Final answer
    x = 249,282.19

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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.