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Finding the Fourth Proportional to 199,627.60, 299,441.40 and 128,768.80

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Solution

The fourth proportional to 199,627.60, 299,441.40 and 128,768.80 is: 193,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,627.60 : 299,441.40 = 128,768.80 : x
  2. Step 2: Convert to fraction form
    199,627.60/299,441.40 = 128,768.80/x
  3. Step 3: Cross multiply
    199,627.60x = 299,441.40 × 128,768.80
  4. Step 4: Simplify right side
    199,627.60x = 38,558,709,748.32
  5. Step 5: Solve for x
    x = 38,558,709,748.32/199,627.60
  6. Step 6: Final answer
    x = 193,153.20

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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.