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Finding the Fourth Proportional to 208,406.28, 287,611.84 and 117,766.06

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Solution

The fourth proportional to 208,406.28, 287,611.84 and 117,766.06 is: 162,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,406.28 : 287,611.84 = 117,766.06 : x
  2. Step 2: Convert to fraction form
    208,406.28/287,611.84 = 117,766.06/x
  3. Step 3: Cross multiply
    208,406.28x = 287,611.84 × 117,766.06
  4. Step 4: Simplify right side
    208,406.28x = 33,870,913,206.15
  5. Step 5: Solve for x
    x = 33,870,913,206.15/208,406.28
  6. Step 6: Final answer
    x = 162,523.48

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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.