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Finding the Fourth Proportional to 76,469.60, 105,544.92 and 42,489.77

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Solution

The fourth proportional to 76,469.60, 105,544.92 and 42,489.77 is: 58,645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,469.60 : 105,544.92 = 42,489.77 : x
  2. Step 2: Convert to fraction form
    76,469.60/105,544.92 = 42,489.77/x
  3. Step 3: Cross multiply
    76,469.60x = 105,544.92 × 42,489.77
  4. Step 4: Simplify right side
    76,469.60x = 4,484,578,847.74
  5. Step 5: Solve for x
    x = 4,484,578,847.74/76,469.60
  6. Step 6: Final answer
    x = 58,645.25

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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.