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Finding the Fourth Proportional to 115,977.80, 162,019 and 115,977.80

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Solution

The fourth proportional to 115,977.80, 162,019 and 115,977.80 is: 162,019

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,977.80 : 162,019 = 115,977.80 : x
  2. Step 2: Convert to fraction form
    115,977.80/162,019 = 115,977.80/x
  3. Step 3: Cross multiply
    115,977.80x = 162,019 × 115,977.80
  4. Step 4: Simplify right side
    115,977.80x = 18,790,607,178.20
  5. Step 5: Solve for x
    x = 18,790,607,178.20/115,977.80
  6. Step 6: Final answer
    x = 162,019

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.