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Finding the Fourth Proportional to 76,846.80, 106,048.38 and 42,855.33

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Solution

The fourth proportional to 76,846.80, 106,048.38 and 42,855.33 is: 59,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,846.80 : 106,048.38 = 42,855.33 : x
  2. Step 2: Convert to fraction form
    76,846.80/106,048.38 = 42,855.33/x
  3. Step 3: Cross multiply
    76,846.80x = 106,048.38 × 42,855.33
  4. Step 4: Simplify right side
    76,846.80x = 4,544,738,320.87
  5. Step 5: Solve for x
    x = 4,544,738,320.87/76,846.80
  6. Step 6: Final answer
    x = 59,140.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.