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Finding the Fourth Proportional to 65,711.59, 98,546.71 and 21,328.09

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Solution

The fourth proportional to 65,711.59, 98,546.71 and 21,328.09 is: 31,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,711.59 : 98,546.71 = 21,328.09 : x
  2. Step 2: Convert to fraction form
    65,711.59/98,546.71 = 21,328.09/x
  3. Step 3: Cross multiply
    65,711.59x = 98,546.71 × 21,328.09
  4. Step 4: Simplify right side
    65,711.59x = 2,101,812,993.44
  5. Step 5: Solve for x
    x = 2,101,812,993.44/65,711.59
  6. Step 6: Final answer
    x = 31,985.42

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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.