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Finding the Fourth Proportional to 136,884.96, 205,157.91 and 77,540.73

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Solution

The fourth proportional to 136,884.96, 205,157.91 and 77,540.73 is: 116,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,884.96 : 205,157.91 = 77,540.73 : x
  2. Step 2: Convert to fraction form
    136,884.96/205,157.91 = 77,540.73/x
  3. Step 3: Cross multiply
    136,884.96x = 205,157.91 × 77,540.73
  4. Step 4: Simplify right side
    136,884.96x = 15,908,094,106.67
  5. Step 5: Solve for x
    x = 15,908,094,106.67/136,884.96
  6. Step 6: Final answer
    x = 116,215.06

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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.