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Finding the Fourth Proportional to 65,584.60, 98,379.97 and 21,214.81

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Solution

The fourth proportional to 65,584.60, 98,379.97 and 21,214.81 is: 31,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,584.60 : 98,379.97 = 21,214.81 : x
  2. Step 2: Convert to fraction form
    65,584.60/98,379.97 = 21,214.81/x
  3. Step 3: Cross multiply
    65,584.60x = 98,379.97 × 21,214.81
  4. Step 4: Simplify right side
    65,584.60x = 2,087,111,879.46
  5. Step 5: Solve for x
    x = 2,087,111,879.46/65,584.60
  6. Step 6: Final answer
    x = 31,823.20

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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.