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Finding the Fourth Proportional to 203,132.76, 304,727.51 and 84,777

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Solution

The fourth proportional to 203,132.76, 304,727.51 and 84,777 is: 127,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,132.76 : 304,727.51 = 84,777 : x
  2. Step 2: Convert to fraction form
    203,132.76/304,727.51 = 84,777/x
  3. Step 3: Cross multiply
    203,132.76x = 304,727.51 × 84,777
  4. Step 4: Simplify right side
    203,132.76x = 25,833,884,327.21
  5. Step 5: Solve for x
    x = 25,833,884,327.21/203,132.76
  6. Step 6: Final answer
    x = 127,177.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.