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Finding the Fourth Proportional to 65,693.40, 98,564.40 and 21,321.60

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Solution

The fourth proportional to 65,693.40, 98,564.40 and 21,321.60 is: 31,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,693.40 : 98,564.40 = 21,321.60 : x
  2. Step 2: Convert to fraction form
    65,693.40/98,564.40 = 21,321.60/x
  3. Step 3: Cross multiply
    65,693.40x = 98,564.40 × 21,321.60
  4. Step 4: Simplify right side
    65,693.40x = 2,101,550,711.04
  5. Step 5: Solve for x
    x = 2,101,550,711.04/65,693.40
  6. Step 6: Final answer
    x = 31,990.29

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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.