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Finding the Fourth Proportional to 208,157.78, 287,262.97 and 127,629.70

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Solution

The fourth proportional to 208,157.78, 287,262.97 and 127,629.70 is: 176,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,157.78 : 287,262.97 = 127,629.70 : x
  2. Step 2: Convert to fraction form
    208,157.78/287,262.97 = 127,629.70/x
  3. Step 3: Cross multiply
    208,157.78x = 287,262.97 × 127,629.70
  4. Step 4: Simplify right side
    208,157.78x = 36,663,285,644.98
  5. Step 5: Solve for x
    x = 36,663,285,644.98/208,157.78
  6. Step 6: Final answer
    x = 176,132.19

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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.