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Finding the Fourth Proportional to 208,314.54, 287,474.00 and 112,821.21

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Solution

The fourth proportional to 208,314.54, 287,474.00 and 112,821.21 is: 155,693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,314.54 : 287,474.00 = 112,821.21 : x
  2. Step 2: Convert to fraction form
    208,314.54/287,474.00 = 112,821.21/x
  3. Step 3: Cross multiply
    208,314.54x = 287,474.00 × 112,821.21
  4. Step 4: Simplify right side
    208,314.54x = 32,433,163,959.43
  5. Step 5: Solve for x
    x = 32,433,163,959.43/208,314.54
  6. Step 6: Final answer
    x = 155,693.23

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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.