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Finding the Fourth Proportional to 77,207.80, 115,617.30 and 50,769.40

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Solution

The fourth proportional to 77,207.80, 115,617.30 and 50,769.40 is: 76,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,207.80 : 115,617.30 = 50,769.40 : x
  2. Step 2: Convert to fraction form
    77,207.80/115,617.30 = 50,769.40/x
  3. Step 3: Cross multiply
    77,207.80x = 115,617.30 × 50,769.40
  4. Step 4: Simplify right side
    77,207.80x = 5,869,820,950.62
  5. Step 5: Solve for x
    x = 5,869,820,950.62/77,207.80
  6. Step 6: Final answer
    x = 76,026.27

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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.