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Finding the Fourth Proportional to 76,589.58, 114,889.85 and 20,429.40

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Solution

The fourth proportional to 76,589.58, 114,889.85 and 20,429.40 is: 30,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,589.58 : 114,889.85 = 20,429.40 : x
  2. Step 2: Convert to fraction form
    76,589.58/114,889.85 = 20,429.40/x
  3. Step 3: Cross multiply
    76,589.58x = 114,889.85 × 20,429.40
  4. Step 4: Simplify right side
    76,589.58x = 2,347,130,599.44
  5. Step 5: Solve for x
    x = 2,347,130,599.44/76,589.58
  6. Step 6: Final answer
    x = 30,645.56

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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.