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Finding the Fourth Proportional to 208,036.80, 311,536.80 and 166,564.80

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Solution

The fourth proportional to 208,036.80, 311,536.80 and 166,564.80 is: 249,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,036.80 : 311,536.80 = 166,564.80 : x
  2. Step 2: Convert to fraction form
    208,036.80/311,536.80 = 166,564.80/x
  3. Step 3: Cross multiply
    208,036.80x = 311,536.80 × 166,564.80
  4. Step 4: Simplify right side
    208,036.80x = 51,891,064,784.64
  5. Step 5: Solve for x
    x = 51,891,064,784.64/208,036.80
  6. Step 6: Final answer
    x = 249,432.14

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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.