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Finding the Fourth Proportional to 208,486.35, 287,712.17 and 112,993.02

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Solution

The fourth proportional to 208,486.35, 287,712.17 and 112,993.02 is: 155,930.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,486.35 : 287,712.17 = 112,993.02 : x
  2. Step 2: Convert to fraction form
    208,486.35/287,712.17 = 112,993.02/x
  3. Step 3: Cross multiply
    208,486.35x = 287,712.17 × 112,993.02
  4. Step 4: Simplify right side
    208,486.35x = 32,509,466,979.05
  5. Step 5: Solve for x
    x = 32,509,466,979.05/208,486.35
  6. Step 6: Final answer
    x = 155,930.91

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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.