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Finding the Fourth Proportional to 189,388.52, 284,209.50 and 78,580.52

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Solution

The fourth proportional to 189,388.52, 284,209.50 and 78,580.52 is: 117,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,388.52 : 284,209.50 = 78,580.52 : x
  2. Step 2: Convert to fraction form
    189,388.52/284,209.50 = 78,580.52/x
  3. Step 3: Cross multiply
    189,388.52x = 284,209.50 × 78,580.52
  4. Step 4: Simplify right side
    189,388.52x = 22,333,330,298.94
  5. Step 5: Solve for x
    x = 22,333,330,298.94/189,388.52
  6. Step 6: Final answer
    x = 117,923.36

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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.