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Finding the Fourth Proportional to 180,784.80, 271,306.80 and 101,815.20

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Solution

The fourth proportional to 180,784.80, 271,306.80 and 101,815.20 is: 152,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,784.80 : 271,306.80 = 101,815.20 : x
  2. Step 2: Convert to fraction form
    180,784.80/271,306.80 = 101,815.20/x
  3. Step 3: Cross multiply
    180,784.80x = 271,306.80 × 101,815.20
  4. Step 4: Simplify right side
    180,784.80x = 27,623,156,103.36
  5. Step 5: Solve for x
    x = 27,623,156,103.36/180,784.80
  6. Step 6: Final answer
    x = 152,795.79

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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.