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Finding the Fourth Proportional to 161,806.77, 242,389.77 and 76,300.56

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Solution

The fourth proportional to 161,806.77, 242,389.77 and 76,300.56 is: 114,299.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,806.77 : 242,389.77 = 76,300.56 : x
  2. Step 2: Convert to fraction form
    161,806.77/242,389.77 = 76,300.56/x
  3. Step 3: Cross multiply
    161,806.77x = 242,389.77 × 76,300.56
  4. Step 4: Simplify right side
    161,806.77x = 18,494,475,189.27
  5. Step 5: Solve for x
    x = 18,494,475,189.27/161,806.77
  6. Step 6: Final answer
    x = 114,299.76

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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.