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Finding the Fourth Proportional to 65,305.16, 97,929.66 and 20,917.16

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Solution

The fourth proportional to 65,305.16, 97,929.66 and 20,917.16 is: 31,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,305.16 : 97,929.66 = 20,917.16 : x
  2. Step 2: Convert to fraction form
    65,305.16/97,929.66 = 20,917.16/x
  3. Step 3: Cross multiply
    65,305.16x = 97,929.66 × 20,917.16
  4. Step 4: Simplify right side
    65,305.16x = 2,048,410,366.97
  5. Step 5: Solve for x
    x = 2,048,410,366.97/65,305.16
  6. Step 6: Final answer
    x = 31,366.75

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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.