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Finding the Fourth Proportional to 65,709.84, 98,544.08 and 21,326.34

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Solution

The fourth proportional to 65,709.84, 98,544.08 and 21,326.34 is: 31,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,709.84 : 98,544.08 = 21,326.34 : x
  2. Step 2: Convert to fraction form
    65,709.84/98,544.08 = 21,326.34/x
  3. Step 3: Cross multiply
    65,709.84x = 98,544.08 × 21,326.34
  4. Step 4: Simplify right side
    65,709.84x = 2,101,584,555.07
  5. Step 5: Solve for x
    x = 2,101,584,555.07/65,709.84
  6. Step 6: Final answer
    x = 31,982.80

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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.