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Finding the Fourth Proportional to 65,165, 97,594.36 and 31,780.48

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Solution

The fourth proportional to 65,165, 97,594.36 and 31,780.48 is: 47,596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,165 : 97,594.36 = 31,780.48 : x
  2. Step 2: Convert to fraction form
    65,165/97,594.36 = 31,780.48/x
  3. Step 3: Cross multiply
    65,165x = 97,594.36 × 31,780.48
  4. Step 4: Simplify right side
    65,165x = 3,101,595,606.09
  5. Step 5: Solve for x
    x = 3,101,595,606.09/65,165
  6. Step 6: Final answer
    x = 47,596.03

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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.