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Finding the Fourth Proportional to 201,438, 277,990.56 and 110,789.28

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Solution

The fourth proportional to 201,438, 277,990.56 and 110,789.28 is: 152,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,438 : 277,990.56 = 110,789.28 : x
  2. Step 2: Convert to fraction form
    201,438/277,990.56 = 110,789.28/x
  3. Step 3: Cross multiply
    201,438x = 277,990.56 × 110,789.28
  4. Step 4: Simplify right side
    201,438x = 30,798,373,989.20
  5. Step 5: Solve for x
    x = 30,798,373,989.20/201,438
  6. Step 6: Final answer
    x = 152,892.57

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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.