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Finding the Fourth Proportional to 189,741.40, 284,381.70 and 84,448.60

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Solution

The fourth proportional to 189,741.40, 284,381.70 and 84,448.60 is: 126,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,741.40 : 284,381.70 = 84,448.60 : x
  2. Step 2: Convert to fraction form
    189,741.40/284,381.70 = 84,448.60/x
  3. Step 3: Cross multiply
    189,741.40x = 284,381.70 × 84,448.60
  4. Step 4: Simplify right side
    189,741.40x = 24,015,636,430.62
  5. Step 5: Solve for x
    x = 24,015,636,430.62/189,741.40
  6. Step 6: Final answer
    x = 126,570.36

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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.