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Finding the Fourth Proportional to 208,489.94, 287,717.54 and 112,998.23

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Solution

The fourth proportional to 208,489.94, 287,717.54 and 112,998.23 is: 155,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,489.94 : 287,717.54 = 112,998.23 : x
  2. Step 2: Convert to fraction form
    208,489.94/287,717.54 = 112,998.23/x
  3. Step 3: Cross multiply
    208,489.94x = 287,717.54 × 112,998.23
  4. Step 4: Simplify right side
    208,489.94x = 32,511,572,759.95
  5. Step 5: Solve for x
    x = 32,511,572,759.95/208,489.94
  6. Step 6: Final answer
    x = 155,938.33

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Double scale
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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.