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Finding the Fourth Proportional to 77,011.80, 115,521.81 and 24,425.38

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Solution

The fourth proportional to 77,011.80, 115,521.81 and 24,425.38 is: 36,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,011.80 : 115,521.81 = 24,425.38 : x
  2. Step 2: Convert to fraction form
    77,011.80/115,521.81 = 24,425.38/x
  3. Step 3: Cross multiply
    77,011.80x = 115,521.81 × 24,425.38
  4. Step 4: Simplify right side
    77,011.80x = 2,821,664,107.54
  5. Step 5: Solve for x
    x = 2,821,664,107.54/77,011.80
  6. Step 6: Final answer
    x = 36,639.37

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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.