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Finding the Fourth Proportional to 200,723.63, 276,978.60 and 115,868.03

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Solution

The fourth proportional to 200,723.63, 276,978.60 and 115,868.03 is: 159,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,723.63 : 276,978.60 = 115,868.03 : x
  2. Step 2: Convert to fraction form
    200,723.63/276,978.60 = 115,868.03/x
  3. Step 3: Cross multiply
    200,723.63x = 276,978.60 × 115,868.03
  4. Step 4: Simplify right side
    200,723.63x = 32,092,963,349.27
  5. Step 5: Solve for x
    x = 32,092,963,349.27/200,723.63
  6. Step 6: Final answer
    x = 159,886.33

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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.