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Finding the Fourth Proportional to 208,154.63, 287,260.39 and 127,566.62

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Solution

The fourth proportional to 208,154.63, 287,260.39 and 127,566.62 is: 176,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,154.63 : 287,260.39 = 127,566.62 : x
  2. Step 2: Convert to fraction form
    208,154.63/287,260.39 = 127,566.62/x
  3. Step 3: Cross multiply
    208,154.63x = 287,260.39 × 127,566.62
  4. Step 4: Simplify right side
    208,154.63x = 36,644,835,556.39
  5. Step 5: Solve for x
    x = 36,644,835,556.39/208,154.63
  6. Step 6: Final answer
    x = 176,046.22

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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.