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Finding the Fourth Proportional to 180,948.80, 271,381.88 and 68,641.49

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Solution

The fourth proportional to 180,948.80, 271,381.88 and 68,641.49 is: 102,946.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,948.80 : 271,381.88 = 68,641.49 : x
  2. Step 2: Convert to fraction form
    180,948.80/271,381.88 = 68,641.49/x
  3. Step 3: Cross multiply
    180,948.80x = 271,381.88 × 68,641.49
  4. Step 4: Simplify right side
    180,948.80x = 18,628,055,416.90
  5. Step 5: Solve for x
    x = 18,628,055,416.90/180,948.80
  6. Step 6: Final answer
    x = 102,946.56

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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.