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Finding the Fourth Proportional to 76,507.75, 114,768.11 and 21,103.75

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Solution

The fourth proportional to 76,507.75, 114,768.11 and 21,103.75 is: 31,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,507.75 : 114,768.11 = 21,103.75 : x
  2. Step 2: Convert to fraction form
    76,507.75/114,768.11 = 21,103.75/x
  3. Step 3: Cross multiply
    76,507.75x = 114,768.11 × 21,103.75
  4. Step 4: Simplify right side
    76,507.75x = 2,422,037,501.41
  5. Step 5: Solve for x
    x = 2,422,037,501.41/76,507.75
  6. Step 6: Final answer
    x = 31,657.41

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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.