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Finding the Fourth Proportional to 208,129, 287,218.92 and 112,635.70

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Solution

The fourth proportional to 208,129, 287,218.92 and 112,635.70 is: 155,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,129 : 287,218.92 = 112,635.70 : x
  2. Step 2: Convert to fraction form
    208,129/287,218.92 = 112,635.70/x
  3. Step 3: Cross multiply
    208,129x = 287,218.92 × 112,635.70
  4. Step 4: Simplify right side
    208,129x = 32,351,104,107.44
  5. Step 5: Solve for x
    x = 32,351,104,107.44/208,129
  6. Step 6: Final answer
    x = 155,437.75

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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.