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Finding the Fourth Proportional to 136,643.29, 204,989.51 and 65,505.65

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Solution

The fourth proportional to 136,643.29, 204,989.51 and 65,505.65 is: 98,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,643.29 : 204,989.51 = 65,505.65 : x
  2. Step 2: Convert to fraction form
    136,643.29/204,989.51 = 65,505.65/x
  3. Step 3: Cross multiply
    136,643.29x = 204,989.51 × 65,505.65
  4. Step 4: Simplify right side
    136,643.29x = 13,427,970,234.55
  5. Step 5: Solve for x
    x = 13,427,970,234.55/136,643.29
  6. Step 6: Final answer
    x = 98,270.25

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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.