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Finding the Fourth Proportional to 189,786.48, 284,709.24 and 63,387.60

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Solution

The fourth proportional to 189,786.48, 284,709.24 and 63,387.60 is: 95,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,786.48 : 284,709.24 = 63,387.60 : x
  2. Step 2: Convert to fraction form
    189,786.48/284,709.24 = 63,387.60/x
  3. Step 3: Cross multiply
    189,786.48x = 284,709.24 × 63,387.60
  4. Step 4: Simplify right side
    189,786.48x = 18,047,035,421.42
  5. Step 5: Solve for x
    x = 18,047,035,421.42/189,786.48
  6. Step 6: Final answer
    x = 95,091.26

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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.