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Finding the Fourth Proportional to 200,787.80, 277,085.21 and 110,139.48

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Solution

The fourth proportional to 200,787.80, 277,085.21 and 110,139.48 is: 151,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,787.80 : 277,085.21 = 110,139.48 : x
  2. Step 2: Convert to fraction form
    200,787.80/277,085.21 = 110,139.48/x
  3. Step 3: Cross multiply
    200,787.80x = 277,085.21 × 110,139.48
  4. Step 4: Simplify right side
    200,787.80x = 30,518,020,394.39
  5. Step 5: Solve for x
    x = 30,518,020,394.39/200,787.80
  6. Step 6: Final answer
    x = 151,991.41

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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.