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Finding the Fourth Proportional to 208,511.65, 287,776.82 and 132,037.73

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Solution

The fourth proportional to 208,511.65, 287,776.82 and 132,037.73 is: 182,231.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,511.65 : 287,776.82 = 132,037.73 : x
  2. Step 2: Convert to fraction form
    208,511.65/287,776.82 = 132,037.73/x
  3. Step 3: Cross multiply
    208,511.65x = 287,776.82 × 132,037.73
  4. Step 4: Simplify right side
    208,511.65x = 37,997,395,960.35
  5. Step 5: Solve for x
    x = 37,997,395,960.35/208,511.65
  6. Step 6: Final answer
    x = 182,231.53

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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.