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Finding the Fourth Proportional to 189,846.40, 284,683.20 and 84,611.20

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Solution

The fourth proportional to 189,846.40, 284,683.20 and 84,611.20 is: 126,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,846.40 : 284,683.20 = 84,611.20 : x
  2. Step 2: Convert to fraction form
    189,846.40/284,683.20 = 84,611.20/x
  3. Step 3: Cross multiply
    189,846.40x = 284,683.20 × 84,611.20
  4. Step 4: Simplify right side
    189,846.40x = 24,087,387,171.84
  5. Step 5: Solve for x
    x = 24,087,387,171.84/189,846.40
  6. Step 6: Final answer
    x = 126,878.29

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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.