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Finding the Fourth Proportional to 136,825.76, 205,186.32 and 65,728.62

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Solution

The fourth proportional to 136,825.76, 205,186.32 and 65,728.62 is: 98,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,825.76 : 205,186.32 = 65,728.62 : x
  2. Step 2: Convert to fraction form
    136,825.76/205,186.32 = 65,728.62/x
  3. Step 3: Cross multiply
    136,825.76x = 205,186.32 × 65,728.62
  4. Step 4: Simplify right side
    136,825.76x = 13,486,613,656.48
  5. Step 5: Solve for x
    x = 13,486,613,656.48/136,825.76
  6. Step 6: Final answer
    x = 98,567.80

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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.