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Finding the Fourth Proportional to 65,212.84, 97,806.30 and 31,918.60

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Solution

The fourth proportional to 65,212.84, 97,806.30 and 31,918.60 is: 47,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.84 : 97,806.30 = 31,918.60 : x
  2. Step 2: Convert to fraction form
    65,212.84/97,806.30 = 31,918.60/x
  3. Step 3: Cross multiply
    65,212.84x = 97,806.30 × 31,918.60
  4. Step 4: Simplify right side
    65,212.84x = 3,121,840,167.18
  5. Step 5: Solve for x
    x = 3,121,840,167.18/65,212.84
  6. Step 6: Final answer
    x = 47,871.56

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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.