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Finding the Fourth Proportional to 189,400.70, 284,429.10 and 100,827.20

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Solution

The fourth proportional to 189,400.70, 284,429.10 and 100,827.20 is: 151,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,400.70 : 284,429.10 = 100,827.20 : x
  2. Step 2: Convert to fraction form
    189,400.70/284,429.10 = 100,827.20/x
  3. Step 3: Cross multiply
    189,400.70x = 284,429.10 × 100,827.20
  4. Step 4: Simplify right side
    189,400.70x = 28,678,189,751.52
  5. Step 5: Solve for x
    x = 28,678,189,751.52/189,400.70
  6. Step 6: Final answer
    x = 151,415.44

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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.