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Finding the Fourth Proportional to 76,176.80, 114,265.20 and 54,015.20

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Solution

The fourth proportional to 76,176.80, 114,265.20 and 54,015.20 is: 81,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,176.80 : 114,265.20 = 54,015.20 : x
  2. Step 2: Convert to fraction form
    76,176.80/114,265.20 = 54,015.20/x
  3. Step 3: Cross multiply
    76,176.80x = 114,265.20 × 54,015.20
  4. Step 4: Simplify right side
    76,176.80x = 6,172,057,631.04
  5. Step 5: Solve for x
    x = 6,172,057,631.04/76,176.80
  6. Step 6: Final answer
    x = 81,022.80

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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.