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Finding the Fourth Proportional to 208,282.29, 287,429.49 and 112,788.96

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Solution

The fourth proportional to 208,282.29, 287,429.49 and 112,788.96 is: 155,648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,282.29 : 287,429.49 = 112,788.96 : x
  2. Step 2: Convert to fraction form
    208,282.29/287,429.49 = 112,788.96/x
  3. Step 3: Cross multiply
    208,282.29x = 287,429.49 × 112,788.96
  4. Step 4: Simplify right side
    208,282.29x = 32,418,873,250.43
  5. Step 5: Solve for x
    x = 32,418,873,250.43/208,282.29
  6. Step 6: Final answer
    x = 155,648.73

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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.