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Finding the Fourth Proportional to 201,780.70, 302,671.05 and 180,007.90

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Solution

The fourth proportional to 201,780.70, 302,671.05 and 180,007.90 is: 270,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,780.70 : 302,671.05 = 180,007.90 : x
  2. Step 2: Convert to fraction form
    201,780.70/302,671.05 = 180,007.90/x
  3. Step 3: Cross multiply
    201,780.70x = 302,671.05 × 180,007.90
  4. Step 4: Simplify right side
    201,780.70x = 54,483,180,101.30
  5. Step 5: Solve for x
    x = 54,483,180,101.30/201,780.70
  6. Step 6: Final answer
    x = 270,011.85

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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.