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Finding the Fourth Proportional to 208,514.12, 287,788.02 and 119,090.12

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Solution

The fourth proportional to 208,514.12, 287,788.02 and 119,090.12 is: 164,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,514.12 : 287,788.02 = 119,090.12 : x
  2. Step 2: Convert to fraction form
    208,514.12/287,788.02 = 119,090.12/x
  3. Step 3: Cross multiply
    208,514.12x = 287,788.02 × 119,090.12
  4. Step 4: Simplify right side
    208,514.12x = 34,272,709,836.36
  5. Step 5: Solve for x
    x = 34,272,709,836.36/208,514.12
  6. Step 6: Final answer
    x = 164,366.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.