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Finding the Fourth Proportional to 75,999.75, 113,999.64 and 20,595.75

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Solution

The fourth proportional to 75,999.75, 113,999.64 and 20,595.75 is: 30,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,999.75 : 113,999.64 = 20,595.75 : x
  2. Step 2: Convert to fraction form
    75,999.75/113,999.64 = 20,595.75/x
  3. Step 3: Cross multiply
    75,999.75x = 113,999.64 × 20,595.75
  4. Step 4: Simplify right side
    75,999.75x = 2,347,908,085.53
  5. Step 5: Solve for x
    x = 2,347,908,085.53/75,999.75
  6. Step 6: Final answer
    x = 30,893.63

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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.