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Finding the Fourth Proportional to 76,994.64, 115,462.80 and 30,222

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Solution

The fourth proportional to 76,994.64, 115,462.80 and 30,222 is: 45,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,994.64 : 115,462.80 = 30,222 : x
  2. Step 2: Convert to fraction form
    76,994.64/115,462.80 = 30,222/x
  3. Step 3: Cross multiply
    76,994.64x = 115,462.80 × 30,222
  4. Step 4: Simplify right side
    76,994.64x = 3,489,516,741.60
  5. Step 5: Solve for x
    x = 3,489,516,741.60/76,994.64
  6. Step 6: Final answer
    x = 45,321.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.