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Finding the Fourth Proportional to 76,459.68, 105,519.78 and 42,469.92

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Solution

The fourth proportional to 76,459.68, 105,519.78 and 42,469.92 is: 58,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,459.68 : 105,519.78 = 42,469.92 : x
  2. Step 2: Convert to fraction form
    76,459.68/105,519.78 = 42,469.92/x
  3. Step 3: Cross multiply
    76,459.68x = 105,519.78 × 42,469.92
  4. Step 4: Simplify right side
    76,459.68x = 4,481,416,615.02
  5. Step 5: Solve for x
    x = 4,481,416,615.02/76,459.68
  6. Step 6: Final answer
    x = 58,611.50

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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.