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Finding the Fourth Proportional to 147,677.76, 203,796 and 80,610.24

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Solution

The fourth proportional to 147,677.76, 203,796 and 80,610.24 is: 111,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,677.76 : 203,796 = 80,610.24 : x
  2. Step 2: Convert to fraction form
    147,677.76/203,796 = 80,610.24/x
  3. Step 3: Cross multiply
    147,677.76x = 203,796 × 80,610.24
  4. Step 4: Simplify right side
    147,677.76x = 16,428,044,471.04
  5. Step 5: Solve for x
    x = 16,428,044,471.04/147,677.76
  6. Step 6: Final answer
    x = 111,242.51

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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.