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Finding the Fourth Proportional to 65,188.39, 97,781.76 and 20,814.58

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Solution

The fourth proportional to 65,188.39, 97,781.76 and 20,814.58 is: 31,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,188.39 : 97,781.76 = 20,814.58 : x
  2. Step 2: Convert to fraction form
    65,188.39/97,781.76 = 20,814.58/x
  3. Step 3: Cross multiply
    65,188.39x = 97,781.76 × 20,814.58
  4. Step 4: Simplify right side
    65,188.39x = 2,035,286,266.06
  5. Step 5: Solve for x
    x = 2,035,286,266.06/65,188.39
  6. Step 6: Final answer
    x = 31,221.61

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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.