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Finding the Fourth Proportional to 76,167.84, 114,220.32 and 28,774.88

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Solution

The fourth proportional to 76,167.84, 114,220.32 and 28,774.88 is: 43,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,167.84 : 114,220.32 = 28,774.88 : x
  2. Step 2: Convert to fraction form
    76,167.84/114,220.32 = 28,774.88/x
  3. Step 3: Cross multiply
    76,167.84x = 114,220.32 × 28,774.88
  4. Step 4: Simplify right side
    76,167.84x = 3,286,676,001.56
  5. Step 5: Solve for x
    x = 3,286,676,001.56/76,167.84
  6. Step 6: Final answer
    x = 43,150.44

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1.5x scale

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.