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Finding the Fourth Proportional to 161,709.20, 242,563.80 and 82,977.20

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Solution

The fourth proportional to 161,709.20, 242,563.80 and 82,977.20 is: 124,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,709.20 : 242,563.80 = 82,977.20 : x
  2. Step 2: Convert to fraction form
    161,709.20/242,563.80 = 82,977.20/x
  3. Step 3: Cross multiply
    161,709.20x = 242,563.80 × 82,977.20
  4. Step 4: Simplify right side
    161,709.20x = 20,127,264,945.36
  5. Step 5: Solve for x
    x = 20,127,264,945.36/161,709.20
  6. Step 6: Final answer
    x = 124,465.80

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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.