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Finding the Fourth Proportional to 136,781.84, 205,533.60 and 73,648.64

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Solution

The fourth proportional to 136,781.84, 205,533.60 and 73,648.64 is: 110,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,781.84 : 205,533.60 = 73,648.64 : x
  2. Step 2: Convert to fraction form
    136,781.84/205,533.60 = 73,648.64/x
  3. Step 3: Cross multiply
    136,781.84x = 205,533.60 × 73,648.64
  4. Step 4: Simplify right side
    136,781.84x = 15,137,270,114.30
  5. Step 5: Solve for x
    x = 15,137,270,114.30/136,781.84
  6. Step 6: Final answer
    x = 110,667.25

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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.