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Finding the Fourth Proportional to 208,116.14, 287,169.47 and 122,042.63

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Solution

The fourth proportional to 208,116.14, 287,169.47 and 122,042.63 is: 168,400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,116.14 : 287,169.47 = 122,042.63 : x
  2. Step 2: Convert to fraction form
    208,116.14/287,169.47 = 122,042.63/x
  3. Step 3: Cross multiply
    208,116.14x = 287,169.47 × 122,042.63
  4. Step 4: Simplify right side
    208,116.14x = 35,046,917,939.88
  5. Step 5: Solve for x
    x = 35,046,917,939.88/208,116.14
  6. Step 6: Final answer
    x = 168,400.77

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1.5x scale

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.