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Finding the Fourth Proportional to 208,015.87, 287,063.31 and 127,443.55

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Solution

The fourth proportional to 208,015.87, 287,063.31 and 127,443.55 is: 175,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,015.87 : 287,063.31 = 127,443.55 : x
  2. Step 2: Convert to fraction form
    208,015.87/287,063.31 = 127,443.55/x
  3. Step 3: Cross multiply
    208,015.87x = 287,063.31 × 127,443.55
  4. Step 4: Simplify right side
    208,015.87x = 36,584,366,663.93
  5. Step 5: Solve for x
    x = 36,584,366,663.93/208,015.87
  6. Step 6: Final answer
    x = 175,872.96

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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.