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Finding the Fourth Proportional to 136,535, 204,698.64 and 74,119.64

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Solution

The fourth proportional to 136,535, 204,698.64 and 74,119.64 is: 111,123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,535 : 204,698.64 = 74,119.64 : x
  2. Step 2: Convert to fraction form
    136,535/204,698.64 = 74,119.64/x
  3. Step 3: Cross multiply
    136,535x = 204,698.64 × 74,119.64
  4. Step 4: Simplify right side
    136,535x = 15,172,189,505.29
  5. Step 5: Solve for x
    x = 15,172,189,505.29/136,535
  6. Step 6: Final answer
    x = 111,123.08

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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.