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Finding the Fourth Proportional to 208,119.21, 287,205.22 and 112,625.88

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Solution

The fourth proportional to 208,119.21, 287,205.22 and 112,625.88 is: 155,424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,119.21 : 287,205.22 = 112,625.88 : x
  2. Step 2: Convert to fraction form
    208,119.21/287,205.22 = 112,625.88/x
  3. Step 3: Cross multiply
    208,119.21x = 287,205.22 × 112,625.88
  4. Step 4: Simplify right side
    208,119.21x = 32,346,739,207.07
  5. Step 5: Solve for x
    x = 32,346,739,207.07/208,119.21
  6. Step 6: Final answer
    x = 155,424.10

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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.