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Finding the Fourth Proportional to 219,819.20, 303,019.80 and 171,989.50

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Solution

The fourth proportional to 219,819.20, 303,019.80 and 171,989.50 is: 237,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,819.20 : 303,019.80 = 171,989.50 : x
  2. Step 2: Convert to fraction form
    219,819.20/303,019.80 = 171,989.50/x
  3. Step 3: Cross multiply
    219,819.20x = 303,019.80 × 171,989.50
  4. Step 4: Simplify right side
    219,819.20x = 52,116,223,892.10
  5. Step 5: Solve for x
    x = 52,116,223,892.10/219,819.20
  6. Step 6: Final answer
    x = 237,086.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.