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Finding the Fourth Proportional to 65,391.75, 98,088.54 and 18,644.64

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Solution

The fourth proportional to 65,391.75, 98,088.54 and 18,644.64 is: 27,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,391.75 : 98,088.54 = 18,644.64 : x
  2. Step 2: Convert to fraction form
    65,391.75/98,088.54 = 18,644.64/x
  3. Step 3: Cross multiply
    65,391.75x = 98,088.54 × 18,644.64
  4. Step 4: Simplify right side
    65,391.75x = 1,828,825,516.43
  5. Step 5: Solve for x
    x = 1,828,825,516.43/65,391.75
  6. Step 6: Final answer
    x = 27,967.22

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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.