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Finding the Fourth Proportional to 136,005.60, 204,008.40 and 82,783.20

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Solution

The fourth proportional to 136,005.60, 204,008.40 and 82,783.20 is: 124,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,005.60 : 204,008.40 = 82,783.20 : x
  2. Step 2: Convert to fraction form
    136,005.60/204,008.40 = 82,783.20/x
  3. Step 3: Cross multiply
    136,005.60x = 204,008.40 × 82,783.20
  4. Step 4: Simplify right side
    136,005.60x = 16,888,468,178.88
  5. Step 5: Solve for x
    x = 16,888,468,178.88/136,005.60
  6. Step 6: Final answer
    x = 124,174.80

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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.