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Finding the Fourth Proportional to 171,276.70, 256,915.05 and 82,703.20

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Solution

The fourth proportional to 171,276.70, 256,915.05 and 82,703.20 is: 124,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,276.70 : 256,915.05 = 82,703.20 : x
  2. Step 2: Convert to fraction form
    171,276.70/256,915.05 = 82,703.20/x
  3. Step 3: Cross multiply
    171,276.70x = 256,915.05 × 82,703.20
  4. Step 4: Simplify right side
    171,276.70x = 21,247,696,763.16
  5. Step 5: Solve for x
    x = 21,247,696,763.16/171,276.70
  6. Step 6: Final answer
    x = 124,054.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.