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Finding the Fourth Proportional to 136,906.32, 205,238.20 and 53,781.20

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Solution

The fourth proportional to 136,906.32, 205,238.20 and 53,781.20 is: 80,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,906.32 : 205,238.20 = 53,781.20 : x
  2. Step 2: Convert to fraction form
    136,906.32/205,238.20 = 53,781.20/x
  3. Step 3: Cross multiply
    136,906.32x = 205,238.20 × 53,781.20
  4. Step 4: Simplify right side
    136,906.32x = 11,037,956,681.84
  5. Step 5: Solve for x
    x = 11,037,956,681.84/136,906.32
  6. Step 6: Final answer
    x = 80,624.16

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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.