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Finding the Fourth Proportional to 77,282.82, 115,583.49 and 67,276.62

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Solution

The fourth proportional to 77,282.82, 115,583.49 and 67,276.62 is: 100,618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,282.82 : 115,583.49 = 67,276.62 : x
  2. Step 2: Convert to fraction form
    77,282.82/115,583.49 = 67,276.62/x
  3. Step 3: Cross multiply
    77,282.82x = 115,583.49 × 67,276.62
  4. Step 4: Simplify right side
    77,282.82x = 7,776,066,535.00
  5. Step 5: Solve for x
    x = 7,776,066,535.00/77,282.82
  6. Step 6: Final answer
    x = 100,618.31

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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.