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Finding the Fourth Proportional to 135,383, 203,070.36 and 64,356.80

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Solution

The fourth proportional to 135,383, 203,070.36 and 64,356.80 is: 96,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,383 : 203,070.36 = 64,356.80 : x
  2. Step 2: Convert to fraction form
    135,383/203,070.36 = 64,356.80/x
  3. Step 3: Cross multiply
    135,383x = 203,070.36 × 64,356.80
  4. Step 4: Simplify right side
    135,383x = 13,068,958,544.45
  5. Step 5: Solve for x
    x = 13,068,958,544.45/135,383
  6. Step 6: Final answer
    x = 96,533.23

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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.