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Finding the Fourth Proportional to 189,391.60, 284,131.08 and 56,268.88

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Solution

The fourth proportional to 189,391.60, 284,131.08 and 56,268.88 is: 84,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,391.60 : 284,131.08 = 56,268.88 : x
  2. Step 2: Convert to fraction form
    189,391.60/284,131.08 = 56,268.88/x
  3. Step 3: Cross multiply
    189,391.60x = 284,131.08 × 56,268.88
  4. Step 4: Simplify right side
    189,391.60x = 15,987,737,644.79
  5. Step 5: Solve for x
    x = 15,987,737,644.79/189,391.60
  6. Step 6: Final answer
    x = 84,416.30

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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.