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Finding the Fourth Proportional to 159,391.40, 219,951.54 and 91,411.24

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Solution

The fourth proportional to 159,391.40, 219,951.54 and 91,411.24 is: 126,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,391.40 : 219,951.54 = 91,411.24 : x
  2. Step 2: Convert to fraction form
    159,391.40/219,951.54 = 91,411.24/x
  3. Step 3: Cross multiply
    159,391.40x = 219,951.54 × 91,411.24
  4. Step 4: Simplify right side
    159,391.40x = 20,106,043,011.31
  5. Step 5: Solve for x
    x = 20,106,043,011.31/159,391.40
  6. Step 6: Final answer
    x = 126,142.58

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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.