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Finding the Fourth Proportional to 203,996.71, 305,871.29 and 77,645.52

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Solution

The fourth proportional to 203,996.71, 305,871.29 and 77,645.52 is: 116,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,996.71 : 305,871.29 = 77,645.52 : x
  2. Step 2: Convert to fraction form
    203,996.71/305,871.29 = 77,645.52/x
  3. Step 3: Cross multiply
    203,996.71x = 305,871.29 × 77,645.52
  4. Step 4: Simplify right side
    203,996.71x = 23,749,535,268.06
  5. Step 5: Solve for x
    x = 23,749,535,268.06/203,996.71
  6. Step 6: Final answer
    x = 116,421.17

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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.