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Finding the Fourth Proportional to 170,507.64, 255,847.86 and 114,987

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Solution

The fourth proportional to 170,507.64, 255,847.86 and 114,987 is: 172,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,507.64 : 255,847.86 = 114,987 : x
  2. Step 2: Convert to fraction form
    170,507.64/255,847.86 = 114,987/x
  3. Step 3: Cross multiply
    170,507.64x = 255,847.86 × 114,987
  4. Step 4: Simplify right side
    170,507.64x = 29,419,177,877.82
  5. Step 5: Solve for x
    x = 29,419,177,877.82/170,507.64
  6. Step 6: Final answer
    x = 172,538.77

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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.