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Finding the Fourth Proportional to 208,118.20, 287,203.84 and 112,624.87

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Solution

The fourth proportional to 208,118.20, 287,203.84 and 112,624.87 is: 155,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,118.20 : 287,203.84 = 112,624.87 : x
  2. Step 2: Convert to fraction form
    208,118.20/287,203.84 = 112,624.87/x
  3. Step 3: Cross multiply
    208,118.20x = 287,203.84 × 112,624.87
  4. Step 4: Simplify right side
    208,118.20x = 32,346,295,579.95
  5. Step 5: Solve for x
    x = 32,346,295,579.95/208,118.20
  6. Step 6: Final answer
    x = 155,422.71

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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.