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Finding the Fourth Proportional to 187,170, 280,675.08 and 108,338.64

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Solution

The fourth proportional to 187,170, 280,675.08 and 108,338.64 is: 162,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,170 : 280,675.08 = 108,338.64 : x
  2. Step 2: Convert to fraction form
    187,170/280,675.08 = 108,338.64/x
  3. Step 3: Cross multiply
    187,170x = 280,675.08 × 108,338.64
  4. Step 4: Simplify right side
    187,170x = 30,407,956,449.09
  5. Step 5: Solve for x
    x = 30,407,956,449.09/187,170
  6. Step 6: Final answer
    x = 162,461.70

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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.