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Finding the Fourth Proportional to 208,015.83, 287,082.78 and 127,496.88

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Solution

The fourth proportional to 208,015.83, 287,082.78 and 127,496.88 is: 175,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,015.83 : 287,082.78 = 127,496.88 : x
  2. Step 2: Convert to fraction form
    208,015.83/287,082.78 = 127,496.88/x
  3. Step 3: Cross multiply
    208,015.83x = 287,082.78 × 127,496.88
  4. Step 4: Simplify right side
    208,015.83x = 36,602,158,751.73
  5. Step 5: Solve for x
    x = 36,602,158,751.73/208,015.83
  6. Step 6: Final answer
    x = 175,958.53

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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.