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Finding the Fourth Proportional to 161,555.92, 242,334.01 and 77,296.21

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Solution

The fourth proportional to 161,555.92, 242,334.01 and 77,296.21 is: 115,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,555.92 : 242,334.01 = 77,296.21 : x
  2. Step 2: Convert to fraction form
    161,555.92/242,334.01 = 77,296.21/x
  3. Step 3: Cross multiply
    161,555.92x = 242,334.01 × 77,296.21
  4. Step 4: Simplify right side
    161,555.92x = 18,731,500,017.89
  5. Step 5: Solve for x
    x = 18,731,500,017.89/161,555.92
  6. Step 6: Final answer
    x = 115,944.38

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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.