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Finding the Fourth Proportional to 76,563.50, 105,661.14 and 42,575.46

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Solution

The fourth proportional to 76,563.50, 105,661.14 and 42,575.46 is: 58,756.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,563.50 : 105,661.14 = 42,575.46 : x
  2. Step 2: Convert to fraction form
    76,563.50/105,661.14 = 42,575.46/x
  3. Step 3: Cross multiply
    76,563.50x = 105,661.14 × 42,575.46
  4. Step 4: Simplify right side
    76,563.50x = 4,498,571,639.62
  5. Step 5: Solve for x
    x = 4,498,571,639.62/76,563.50
  6. Step 6: Final answer
    x = 58,756.09

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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.