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Finding the Fourth Proportional to 189,881, 284,753.40 and 56,736.44

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Solution

The fourth proportional to 189,881, 284,753.40 and 56,736.44 is: 85,084.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,881 : 284,753.40 = 56,736.44 : x
  2. Step 2: Convert to fraction form
    189,881/284,753.40 = 56,736.44/x
  3. Step 3: Cross multiply
    189,881x = 284,753.40 × 56,736.44
  4. Step 4: Simplify right side
    189,881x = 16,155,894,193.90
  5. Step 5: Solve for x
    x = 16,155,894,193.90/189,881
  6. Step 6: Final answer
    x = 85,084.31

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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.