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Finding the Fourth Proportional to 65,678.84, 98,532.66 and 21,310.08

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Solution

The fourth proportional to 65,678.84, 98,532.66 and 21,310.08 is: 31,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,678.84 : 98,532.66 = 21,310.08 : x
  2. Step 2: Convert to fraction form
    65,678.84/98,532.66 = 21,310.08/x
  3. Step 3: Cross multiply
    65,678.84x = 98,532.66 × 21,310.08
  4. Step 4: Simplify right side
    65,678.84x = 2,099,738,867.21
  5. Step 5: Solve for x
    x = 2,099,738,867.21/65,678.84
  6. Step 6: Final answer
    x = 31,969.79

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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.