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Finding the Fourth Proportional to 159,712.49, 219,954.76 and 156,224.90

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Solution

The fourth proportional to 159,712.49, 219,954.76 and 156,224.90 is: 215,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,712.49 : 219,954.76 = 156,224.90 : x
  2. Step 2: Convert to fraction form
    159,712.49/219,954.76 = 156,224.90/x
  3. Step 3: Cross multiply
    159,712.49x = 219,954.76 × 156,224.90
  4. Step 4: Simplify right side
    159,712.49x = 34,362,410,544.85
  5. Step 5: Solve for x
    x = 34,362,410,544.85/159,712.49
  6. Step 6: Final answer
    x = 215,151.68

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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.