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Finding the Fourth Proportional to 201,200.02, 302,056.13 and 130,418.85

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Solution

The fourth proportional to 201,200.02, 302,056.13 and 130,418.85 is: 195,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,200.02 : 302,056.13 = 130,418.85 : x
  2. Step 2: Convert to fraction form
    201,200.02/302,056.13 = 130,418.85/x
  3. Step 3: Cross multiply
    201,200.02x = 302,056.13 × 130,418.85
  4. Step 4: Simplify right side
    201,200.02x = 39,393,813,835.20
  5. Step 5: Solve for x
    x = 39,393,813,835.20/201,200.02
  6. Step 6: Final answer
    x = 195,794.28

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1.5x scale

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.