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Finding the Fourth Proportional to 76,563.96, 105,657.78 and 42,571.92

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Solution

The fourth proportional to 76,563.96, 105,657.78 and 42,571.92 is: 58,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,563.96 : 105,657.78 = 42,571.92 : x
  2. Step 2: Convert to fraction form
    76,563.96/105,657.78 = 42,571.92/x
  3. Step 3: Cross multiply
    76,563.96x = 105,657.78 × 42,571.92
  4. Step 4: Simplify right side
    76,563.96x = 4,498,054,557.54
  5. Step 5: Solve for x
    x = 4,498,054,557.54/76,563.96
  6. Step 6: Final answer
    x = 58,748.98

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1.5x scale

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.