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Finding the Fourth Proportional to 65,807.25, 98,721.09 and 21,423.57

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Solution

The fourth proportional to 65,807.25, 98,721.09 and 21,423.57 is: 32,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,807.25 : 98,721.09 = 21,423.57 : x
  2. Step 2: Convert to fraction form
    65,807.25/98,721.09 = 21,423.57/x
  3. Step 3: Cross multiply
    65,807.25x = 98,721.09 × 21,423.57
  4. Step 4: Simplify right side
    65,807.25x = 2,114,958,182.09
  5. Step 5: Solve for x
    x = 2,114,958,182.09/65,807.25
  6. Step 6: Final answer
    x = 32,138.68

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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.