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Finding the Fourth Proportional to 158,311.63, 218,469.71 and 85,714.16

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Solution

The fourth proportional to 158,311.63, 218,469.71 and 85,714.16 is: 118,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,311.63 : 218,469.71 = 85,714.16 : x
  2. Step 2: Convert to fraction form
    158,311.63/218,469.71 = 85,714.16/x
  3. Step 3: Cross multiply
    158,311.63x = 218,469.71 × 85,714.16
  4. Step 4: Simplify right side
    158,311.63x = 18,725,947,787.85
  5. Step 5: Solve for x
    x = 18,725,947,787.85/158,311.63
  6. Step 6: Final answer
    x = 118,285.36

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1.5x scale

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.