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Finding the Fourth Proportional to 75,989.81, 113,984.72 and 20,585.81

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Solution

The fourth proportional to 75,989.81, 113,984.72 and 20,585.81 is: 30,878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,989.81 : 113,984.72 = 20,585.81 : x
  2. Step 2: Convert to fraction form
    75,989.81/113,984.72 = 20,585.81/x
  3. Step 3: Cross multiply
    75,989.81x = 113,984.72 × 20,585.81
  4. Step 4: Simplify right side
    75,989.81x = 2,346,468,048.05
  5. Step 5: Solve for x
    x = 2,346,468,048.05/75,989.81
  6. Step 6: Final answer
    x = 30,878.72

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Similar ratio
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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.