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Finding the Fourth Proportional to 159,395.63, 219,946.83 and 91,409.09

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Solution

The fourth proportional to 159,395.63, 219,946.83 and 91,409.09 is: 126,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,395.63 : 219,946.83 = 91,409.09 : x
  2. Step 2: Convert to fraction form
    159,395.63/219,946.83 = 91,409.09/x
  3. Step 3: Cross multiply
    159,395.63x = 219,946.83 × 91,409.09
  4. Step 4: Simplify right side
    159,395.63x = 20,105,138,478.95
  5. Step 5: Solve for x
    x = 20,105,138,478.95/159,395.63
  6. Step 6: Final answer
    x = 126,133.57

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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.