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Finding the Fourth Proportional to 200,727.78, 277,017.75 and 115,843.02

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Solution

The fourth proportional to 200,727.78, 277,017.75 and 115,843.02 is: 159,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,727.78 : 277,017.75 = 115,843.02 : x
  2. Step 2: Convert to fraction form
    200,727.78/277,017.75 = 115,843.02/x
  3. Step 3: Cross multiply
    200,727.78x = 277,017.75 × 115,843.02
  4. Step 4: Simplify right side
    200,727.78x = 32,090,572,753.61
  5. Step 5: Solve for x
    x = 32,090,572,753.61/200,727.78
  6. Step 6: Final answer
    x = 159,871.11

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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.