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Finding the Fourth Proportional to 147,200, 203,136.04 and 80,132

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Solution

The fourth proportional to 147,200, 203,136.04 and 80,132 is: 110,582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,200 : 203,136.04 = 80,132 : x
  2. Step 2: Convert to fraction form
    147,200/203,136.04 = 80,132/x
  3. Step 3: Cross multiply
    147,200x = 203,136.04 × 80,132
  4. Step 4: Simplify right side
    147,200x = 16,277,697,157.28
  5. Step 5: Solve for x
    x = 16,277,697,157.28/147,200
  6. Step 6: Final answer
    x = 110,582.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.