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Finding the Fourth Proportional to 136,824.83, 205,184.95 and 65,727.21

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Solution

The fourth proportional to 136,824.83, 205,184.95 and 65,727.21 is: 98,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,824.83 : 205,184.95 = 65,727.21 : x
  2. Step 2: Convert to fraction form
    136,824.83/205,184.95 = 65,727.21/x
  3. Step 3: Cross multiply
    136,824.83x = 205,184.95 × 65,727.21
  4. Step 4: Simplify right side
    136,824.83x = 13,486,234,902.62
  5. Step 5: Solve for x
    x = 13,486,234,902.62/136,824.83
  6. Step 6: Final answer
    x = 98,565.70

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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.