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Finding the Fourth Proportional to 128,623.88, 193,054.24 and 65,489.12

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Solution

The fourth proportional to 128,623.88, 193,054.24 and 65,489.12 is: 98,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,623.88 : 193,054.24 = 65,489.12 : x
  2. Step 2: Convert to fraction form
    128,623.88/193,054.24 = 65,489.12/x
  3. Step 3: Cross multiply
    128,623.88x = 193,054.24 × 65,489.12
  4. Step 4: Simplify right side
    128,623.88x = 12,642,952,289.87
  5. Step 5: Solve for x
    x = 12,642,952,289.87/128,623.88
  6. Step 6: Final answer
    x = 98,293.97

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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.