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Finding the Fourth Proportional to 208,283.73, 287,432.43 and 112,790.51

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Solution

The fourth proportional to 208,283.73, 287,432.43 and 112,790.51 is: 155,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,283.73 : 287,432.43 = 112,790.51 : x
  2. Step 2: Convert to fraction form
    208,283.73/287,432.43 = 112,790.51/x
  3. Step 3: Cross multiply
    208,283.73x = 287,432.43 × 112,790.51
  4. Step 4: Simplify right side
    208,283.73x = 32,419,648,933.08
  5. Step 5: Solve for x
    x = 32,419,648,933.08/208,283.73
  6. Step 6: Final answer
    x = 155,651.37

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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.